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Finding the Fourth Proportional to 523,422.90, 785,134.35 and 488,430.90

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Solution

The fourth proportional to 523,422.90, 785,134.35 and 488,430.90 is: 732,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,422.90 : 785,134.35 = 488,430.90 : x
  2. Step 2: Convert to fraction form
    523,422.90/785,134.35 = 488,430.90/x
  3. Step 3: Cross multiply
    523,422.90x = 785,134.35 × 488,430.90
  4. Step 4: Simplify right side
    523,422.90x = 383,483,877,191.42
  5. Step 5: Solve for x
    x = 383,483,877,191.42/523,422.90
  6. Step 6: Final answer
    x = 732,646.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.