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Finding the Fourth Proportional to 411,657.39, 617,681.70 and 145,543.23

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Solution

The fourth proportional to 411,657.39, 617,681.70 and 145,543.23 is: 218,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,657.39 : 617,681.70 = 145,543.23 : x
  2. Step 2: Convert to fraction form
    411,657.39/617,681.70 = 145,543.23/x
  3. Step 3: Cross multiply
    411,657.39x = 617,681.70 × 145,543.23
  4. Step 4: Simplify right side
    411,657.39x = 89,899,389,729.89
  5. Step 5: Solve for x
    x = 89,899,389,729.89/411,657.39
  6. Step 6: Final answer
    x = 218,384.01

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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.