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Finding the Fourth Proportional to 434,462.60, 651,693.90 and 402,969.80

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Solution

The fourth proportional to 434,462.60, 651,693.90 and 402,969.80 is: 604,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,462.60 : 651,693.90 = 402,969.80 : x
  2. Step 2: Convert to fraction form
    434,462.60/651,693.90 = 402,969.80/x
  3. Step 3: Cross multiply
    434,462.60x = 651,693.90 × 402,969.80
  4. Step 4: Simplify right side
    434,462.60x = 262,612,960,544.22
  5. Step 5: Solve for x
    x = 262,612,960,544.22/434,462.60
  6. Step 6: Final answer
    x = 604,454.70

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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.