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Finding the Fourth Proportional to 393,526.35, 542,778.71 and 257,341.86

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Solution

The fourth proportional to 393,526.35, 542,778.71 and 257,341.86 is: 354,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,526.35 : 542,778.71 = 257,341.86 : x
  2. Step 2: Convert to fraction form
    393,526.35/542,778.71 = 257,341.86/x
  3. Step 3: Cross multiply
    393,526.35x = 542,778.71 × 257,341.86
  4. Step 4: Simplify right side
    393,526.35x = 139,679,681,513.09
  5. Step 5: Solve for x
    x = 139,679,681,513.09/393,526.35
  6. Step 6: Final answer
    x = 354,943.66

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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.