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Finding the Fourth Proportional to 406,298.32, 560,693.22 and 225,006.28

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Solution

The fourth proportional to 406,298.32, 560,693.22 and 225,006.28 is: 310,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,298.32 : 560,693.22 = 225,006.28 : x
  2. Step 2: Convert to fraction form
    406,298.32/560,693.22 = 225,006.28/x
  3. Step 3: Cross multiply
    406,298.32x = 560,693.22 × 225,006.28
  4. Step 4: Simplify right side
    406,298.32x = 126,159,495,653.42
  5. Step 5: Solve for x
    x = 126,159,495,653.42/406,298.32
  6. Step 6: Final answer
    x = 310,509.52

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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.