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Finding the Fourth Proportional to 514,875.30, 710,528.13 and 313,671.30

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Solution

The fourth proportional to 514,875.30, 710,528.13 and 313,671.30 is: 432,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,875.30 : 710,528.13 = 313,671.30 : x
  2. Step 2: Convert to fraction form
    514,875.30/710,528.13 = 313,671.30/x
  3. Step 3: Cross multiply
    514,875.30x = 710,528.13 × 313,671.30
  4. Step 4: Simplify right side
    514,875.30x = 222,872,282,223.67
  5. Step 5: Solve for x
    x = 222,872,282,223.67/514,875.30
  6. Step 6: Final answer
    x = 432,866.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.