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Finding the Fourth Proportional to 466,373.70, 698,576.40 and 416,510.10

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Solution

The fourth proportional to 466,373.70, 698,576.40 and 416,510.10 is: 623,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,373.70 : 698,576.40 = 416,510.10 : x
  2. Step 2: Convert to fraction form
    466,373.70/698,576.40 = 416,510.10/x
  3. Step 3: Cross multiply
    466,373.70x = 698,576.40 × 416,510.10
  4. Step 4: Simplify right side
    466,373.70x = 290,964,126,221.64
  5. Step 5: Solve for x
    x = 290,964,126,221.64/466,373.70
  6. Step 6: Final answer
    x = 623,886.22

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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.