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Finding the Fourth Proportional to 406,948.70, 610,423.05 and 346,814.30

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Solution

The fourth proportional to 406,948.70, 610,423.05 and 346,814.30 is: 520,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,948.70 : 610,423.05 = 346,814.30 : x
  2. Step 2: Convert to fraction form
    406,948.70/610,423.05 = 346,814.30/x
  3. Step 3: Cross multiply
    406,948.70x = 610,423.05 × 346,814.30
  4. Step 4: Simplify right side
    406,948.70x = 211,703,442,789.62
  5. Step 5: Solve for x
    x = 211,703,442,789.62/406,948.70
  6. Step 6: Final answer
    x = 520,221.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.