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Finding the Fourth Proportional to 503,301, 755,068.14 and 170,877

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Solution

The fourth proportional to 503,301, 755,068.14 and 170,877 is: 256,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,301 : 755,068.14 = 170,877 : x
  2. Step 2: Convert to fraction form
    503,301/755,068.14 = 170,877/x
  3. Step 3: Cross multiply
    503,301x = 755,068.14 × 170,877
  4. Step 4: Simplify right side
    503,301x = 129,023,778,558.78
  5. Step 5: Solve for x
    x = 129,023,778,558.78/503,301
  6. Step 6: Final answer
    x = 256,355.10

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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.