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Finding the Fourth Proportional to 506,874.85, 699,642.93 and 292,157.80

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Solution

The fourth proportional to 506,874.85, 699,642.93 and 292,157.80 is: 403,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,874.85 : 699,642.93 = 292,157.80 : x
  2. Step 2: Convert to fraction form
    506,874.85/699,642.93 = 292,157.80/x
  3. Step 3: Cross multiply
    506,874.85x = 699,642.93 × 292,157.80
  4. Step 4: Simplify right side
    506,874.85x = 204,406,139,214.35
  5. Step 5: Solve for x
    x = 204,406,139,214.35/506,874.85
  6. Step 6: Final answer
    x = 403,267.47

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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.