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Finding the Fourth Proportional to 406,392.68, 560,827.80 and 234,307.64

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Solution

The fourth proportional to 406,392.68, 560,827.80 and 234,307.64 is: 323,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,392.68 : 560,827.80 = 234,307.64 : x
  2. Step 2: Convert to fraction form
    406,392.68/560,827.80 = 234,307.64/x
  3. Step 3: Cross multiply
    406,392.68x = 560,827.80 × 234,307.64
  4. Step 4: Simplify right side
    406,392.68x = 131,406,238,264.39
  5. Step 5: Solve for x
    x = 131,406,238,264.39/406,392.68
  6. Step 6: Final answer
    x = 323,347.95

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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.