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Finding the Fourth Proportional to 514,637.13, 710,199.45 and 313,433.13

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Solution

The fourth proportional to 514,637.13, 710,199.45 and 313,433.13 is: 432,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,637.13 : 710,199.45 = 313,433.13 : x
  2. Step 2: Convert to fraction form
    514,637.13/710,199.45 = 313,433.13/x
  3. Step 3: Cross multiply
    514,637.13x = 710,199.45 × 313,433.13
  4. Step 4: Simplify right side
    514,637.13x = 222,600,036,537.78
  5. Step 5: Solve for x
    x = 222,600,036,537.78/514,637.13
  6. Step 6: Final answer
    x = 432,537.85

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1.5x scale

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.