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Finding the Fourth Proportional to 514,397.02, 710,054.22 and 418,737.64

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Solution

The fourth proportional to 514,397.02, 710,054.22 and 418,737.64 is: 578,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,397.02 : 710,054.22 = 418,737.64 : x
  2. Step 2: Convert to fraction form
    514,397.02/710,054.22 = 418,737.64/x
  3. Step 3: Cross multiply
    514,397.02x = 710,054.22 × 418,737.64
  4. Step 4: Simplify right side
    514,397.02x = 297,326,428,354.84
  5. Step 5: Solve for x
    x = 297,326,428,354.84/514,397.02
  6. Step 6: Final answer
    x = 578,009.62

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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.