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Finding the Fourth Proportional to 495,211.80, 742,817.70 and 461,750.70

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Solution

The fourth proportional to 495,211.80, 742,817.70 and 461,750.70 is: 692,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,211.80 : 742,817.70 = 461,750.70 : x
  2. Step 2: Convert to fraction form
    495,211.80/742,817.70 = 461,750.70/x
  3. Step 3: Cross multiply
    495,211.80x = 742,817.70 × 461,750.70
  4. Step 4: Simplify right side
    495,211.80x = 342,996,592,947.39
  5. Step 5: Solve for x
    x = 342,996,592,947.39/495,211.80
  6. Step 6: Final answer
    x = 692,626.05

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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.