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Finding the Fourth Proportional to 506,641.13, 699,095.70 and 302,648.75

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Solution

The fourth proportional to 506,641.13, 699,095.70 and 302,648.75 is: 417,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,641.13 : 699,095.70 = 302,648.75 : x
  2. Step 2: Convert to fraction form
    506,641.13/699,095.70 = 302,648.75/x
  3. Step 3: Cross multiply
    506,641.13x = 699,095.70 × 302,648.75
  4. Step 4: Simplify right side
    506,641.13x = 211,580,439,735.38
  5. Step 5: Solve for x
    x = 211,580,439,735.38/506,641.13
  6. Step 6: Final answer
    x = 417,614.02

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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.