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Finding the Fourth Proportional to 508,933.80, 763,400.70 and 176,543.40

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Solution

The fourth proportional to 508,933.80, 763,400.70 and 176,543.40 is: 264,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,933.80 : 763,400.70 = 176,543.40 : x
  2. Step 2: Convert to fraction form
    508,933.80/763,400.70 = 176,543.40/x
  3. Step 3: Cross multiply
    508,933.80x = 763,400.70 × 176,543.40
  4. Step 4: Simplify right side
    508,933.80x = 134,773,355,140.38
  5. Step 5: Solve for x
    x = 134,773,355,140.38/508,933.80
  6. Step 6: Final answer
    x = 264,815.10

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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.