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Finding the Fourth Proportional to 347,368.86, 521,302.41 and 147,829.41

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Solution

The fourth proportional to 347,368.86, 521,302.41 and 147,829.41 is: 221,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,368.86 : 521,302.41 = 147,829.41 : x
  2. Step 2: Convert to fraction form
    347,368.86/521,302.41 = 147,829.41/x
  3. Step 3: Cross multiply
    347,368.86x = 521,302.41 × 147,829.41
  4. Step 4: Simplify right side
    347,368.86x = 77,063,827,701.88
  5. Step 5: Solve for x
    x = 77,063,827,701.88/347,368.86
  6. Step 6: Final answer
    x = 221,850.13

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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.