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Finding the Fourth Proportional to 438,030.75, 657,117.20 and 171,646.86

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Solution

The fourth proportional to 438,030.75, 657,117.20 and 171,646.86 is: 257,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,030.75 : 657,117.20 = 171,646.86 : x
  2. Step 2: Convert to fraction form
    438,030.75/657,117.20 = 171,646.86/x
  3. Step 3: Cross multiply
    438,030.75x = 657,117.20 × 171,646.86
  4. Step 4: Simplify right side
    438,030.75x = 112,792,104,031.99
  5. Step 5: Solve for x
    x = 112,792,104,031.99/438,030.75
  6. Step 6: Final answer
    x = 257,498.14

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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.