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Finding the Fourth Proportional to 506,031.50, 697,871.48 and 419,854.04

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Solution

The fourth proportional to 506,031.50, 697,871.48 and 419,854.04 is: 579,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,031.50 : 697,871.48 = 419,854.04 : x
  2. Step 2: Convert to fraction form
    506,031.50/697,871.48 = 419,854.04/x
  3. Step 3: Cross multiply
    506,031.50x = 697,871.48 × 419,854.04
  4. Step 4: Simplify right side
    506,031.50x = 293,004,160,278.78
  5. Step 5: Solve for x
    x = 293,004,160,278.78/506,031.50
  6. Step 6: Final answer
    x = 579,023.56

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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.