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Finding the Fourth Proportional to 473,095.20, 709,642.80 and 224,263.20

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Solution

The fourth proportional to 473,095.20, 709,642.80 and 224,263.20 is: 336,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,095.20 : 709,642.80 = 224,263.20 : x
  2. Step 2: Convert to fraction form
    473,095.20/709,642.80 = 224,263.20/x
  3. Step 3: Cross multiply
    473,095.20x = 709,642.80 × 224,263.20
  4. Step 4: Simplify right side
    473,095.20x = 159,146,765,184.96
  5. Step 5: Solve for x
    x = 159,146,765,184.96/473,095.20
  6. Step 6: Final answer
    x = 336,394.80

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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.