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Finding the Fourth Proportional to 506,458.59, 699,128.06 and 315,566.30

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Solution

The fourth proportional to 506,458.59, 699,128.06 and 315,566.30 is: 435,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,458.59 : 699,128.06 = 315,566.30 : x
  2. Step 2: Convert to fraction form
    506,458.59/699,128.06 = 315,566.30/x
  3. Step 3: Cross multiply
    506,458.59x = 699,128.06 × 315,566.30
  4. Step 4: Simplify right side
    506,458.59x = 220,621,255,120.38
  5. Step 5: Solve for x
    x = 220,621,255,120.38/506,458.59
  6. Step 6: Final answer
    x = 435,615.59

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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.