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Finding the Fourth Proportional to 411,951.80, 617,927.70 and 403,657.40

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Solution

The fourth proportional to 411,951.80, 617,927.70 and 403,657.40 is: 605,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,951.80 : 617,927.70 = 403,657.40 : x
  2. Step 2: Convert to fraction form
    411,951.80/617,927.70 = 403,657.40/x
  3. Step 3: Cross multiply
    411,951.80x = 617,927.70 × 403,657.40
  4. Step 4: Simplify right side
    411,951.80x = 249,431,088,769.98
  5. Step 5: Solve for x
    x = 249,431,088,769.98/411,951.80
  6. Step 6: Final answer
    x = 605,486.10

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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.