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Finding the Fourth Proportional to 406,042.61, 560,141.55 and 268,275.60

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Solution

The fourth proportional to 406,042.61, 560,141.55 and 268,275.60 is: 370,090.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,042.61 : 560,141.55 = 268,275.60 : x
  2. Step 2: Convert to fraction form
    406,042.61/560,141.55 = 268,275.60/x
  3. Step 3: Cross multiply
    406,042.61x = 560,141.55 × 268,275.60
  4. Step 4: Simplify right side
    406,042.61x = 150,272,310,411.18
  5. Step 5: Solve for x
    x = 150,272,310,411.18/406,042.61
  6. Step 6: Final answer
    x = 370,090.01

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Why These Related Problems?

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