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Finding the Fourth Proportional to 284,417.90, 426,697.02 and 84,737.50

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Solution

The fourth proportional to 284,417.90, 426,697.02 and 84,737.50 is: 127,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,417.90 : 426,697.02 = 84,737.50 : x
  2. Step 2: Convert to fraction form
    284,417.90/426,697.02 = 84,737.50/x
  3. Step 3: Cross multiply
    284,417.90x = 426,697.02 × 84,737.50
  4. Step 4: Simplify right side
    284,417.90x = 36,157,238,732.25
  5. Step 5: Solve for x
    x = 36,157,238,732.25/284,417.90
  6. Step 6: Final answer
    x = 127,127.16

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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.