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Finding the Fourth Proportional to 545,178.47, 752,217.76 and 458,293.98

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Solution

The fourth proportional to 545,178.47, 752,217.76 and 458,293.98 is: 632,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,178.47 : 752,217.76 = 458,293.98 : x
  2. Step 2: Convert to fraction form
    545,178.47/752,217.76 = 458,293.98/x
  3. Step 3: Cross multiply
    545,178.47x = 752,217.76 × 458,293.98
  4. Step 4: Simplify right side
    545,178.47x = 344,736,871,057.09
  5. Step 5: Solve for x
    x = 344,736,871,057.09/545,178.47
  6. Step 6: Final answer
    x = 632,337.65

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1.5x scale

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.