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Finding the Fourth Proportional to 461,316.32, 636,638.64 and 260,108

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Solution

The fourth proportional to 461,316.32, 636,638.64 and 260,108 is: 358,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,316.32 : 636,638.64 = 260,108 : x
  2. Step 2: Convert to fraction form
    461,316.32/636,638.64 = 260,108/x
  3. Step 3: Cross multiply
    461,316.32x = 636,638.64 × 260,108
  4. Step 4: Simplify right side
    461,316.32x = 165,594,803,373.12
  5. Step 5: Solve for x
    x = 165,594,803,373.12/461,316.32
  6. Step 6: Final answer
    x = 358,961.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.