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Finding the Fourth Proportional to 559,034.12, 771,698.92 and 423,106

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Solution

The fourth proportional to 559,034.12, 771,698.92 and 423,106 is: 584,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,034.12 : 771,698.92 = 423,106 : x
  2. Step 2: Convert to fraction form
    559,034.12/771,698.92 = 423,106/x
  3. Step 3: Cross multiply
    559,034.12x = 771,698.92 × 423,106
  4. Step 4: Simplify right side
    559,034.12x = 326,510,443,245.52
  5. Step 5: Solve for x
    x = 326,510,443,245.52/559,034.12
  6. Step 6: Final answer
    x = 584,061.74

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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.