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Finding the Fourth Proportional to 477,193.66, 658,539.88 and 259,417.02

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Solution

The fourth proportional to 477,193.66, 658,539.88 and 259,417.02 is: 358,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,193.66 : 658,539.88 = 259,417.02 : x
  2. Step 2: Convert to fraction form
    477,193.66/658,539.88 = 259,417.02/x
  3. Step 3: Cross multiply
    477,193.66x = 658,539.88 × 259,417.02
  4. Step 4: Simplify right side
    477,193.66x = 170,836,453,220.76
  5. Step 5: Solve for x
    x = 170,836,453,220.76/477,193.66
  6. Step 6: Final answer
    x = 358,002.35

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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.