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Finding the Fourth Proportional to 472,897.20, 709,345.80 and 224,065.20

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Solution

The fourth proportional to 472,897.20, 709,345.80 and 224,065.20 is: 336,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,897.20 : 709,345.80 = 224,065.20 : x
  2. Step 2: Convert to fraction form
    472,897.20/709,345.80 = 224,065.20/x
  3. Step 3: Cross multiply
    472,897.20x = 709,345.80 × 224,065.20
  4. Step 4: Simplify right side
    472,897.20x = 158,939,708,546.16
  5. Step 5: Solve for x
    x = 158,939,708,546.16/472,897.20
  6. Step 6: Final answer
    x = 336,097.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.