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Finding the Fourth Proportional to 406,509.84, 560,930.40 and 234,434.16

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Solution

The fourth proportional to 406,509.84, 560,930.40 and 234,434.16 is: 323,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,509.84 : 560,930.40 = 234,434.16 : x
  2. Step 2: Convert to fraction form
    406,509.84/560,930.40 = 234,434.16/x
  3. Step 3: Cross multiply
    406,509.84x = 560,930.40 × 234,434.16
  4. Step 4: Simplify right side
    406,509.84x = 131,501,247,142.46
  5. Step 5: Solve for x
    x = 131,501,247,142.46/406,509.84
  6. Step 6: Final answer
    x = 323,488.47

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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.