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Finding the Fourth Proportional to 434,323.32, 651,475.71 and 118,780.22

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Solution

The fourth proportional to 434,323.32, 651,475.71 and 118,780.22 is: 178,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,323.32 : 651,475.71 = 118,780.22 : x
  2. Step 2: Convert to fraction form
    434,323.32/651,475.71 = 118,780.22/x
  3. Step 3: Cross multiply
    434,323.32x = 651,475.71 × 118,780.22
  4. Step 4: Simplify right side
    434,323.32x = 77,382,429,787.15
  5. Step 5: Solve for x
    x = 77,382,429,787.15/434,323.32
  6. Step 6: Final answer
    x = 178,167.80

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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.