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Finding the Fourth Proportional to 406,397.64, 560,775.60 and 234,322.08

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Solution

The fourth proportional to 406,397.64, 560,775.60 and 234,322.08 is: 323,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,397.64 : 560,775.60 = 234,322.08 : x
  2. Step 2: Convert to fraction form
    406,397.64/560,775.60 = 234,322.08/x
  3. Step 3: Cross multiply
    406,397.64x = 560,775.60 × 234,322.08
  4. Step 4: Simplify right side
    406,397.64x = 131,402,105,005.25
  5. Step 5: Solve for x
    x = 131,402,105,005.25/406,397.64
  6. Step 6: Final answer
    x = 323,333.83

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1.5x scale

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.