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Finding the Fourth Proportional to 472,875.20, 709,312.80 and 224,043.20

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Solution

The fourth proportional to 472,875.20, 709,312.80 and 224,043.20 is: 336,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,875.20 : 709,312.80 = 224,043.20 : x
  2. Step 2: Convert to fraction form
    472,875.20/709,312.80 = 224,043.20/x
  3. Step 3: Cross multiply
    472,875.20x = 709,312.80 × 224,043.20
  4. Step 4: Simplify right side
    472,875.20x = 158,916,709,512.96
  5. Step 5: Solve for x
    x = 158,916,709,512.96/472,875.20
  6. Step 6: Final answer
    x = 336,064.80

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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.