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Finding the Fourth Proportional to 614,010.66, 916,698.73 and 469,158.38

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Solution

The fourth proportional to 614,010.66, 916,698.73 and 469,158.38 is: 700,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,010.66 : 916,698.73 = 469,158.38 : x
  2. Step 2: Convert to fraction form
    614,010.66/916,698.73 = 469,158.38/x
  3. Step 3: Cross multiply
    614,010.66x = 916,698.73 × 469,158.38
  4. Step 4: Simplify right side
    614,010.66x = 430,076,891,114.86
  5. Step 5: Solve for x
    x = 430,076,891,114.86/614,010.66
  6. Step 6: Final answer
    x = 700,438.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.