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Finding the Fourth Proportional to 559,206.48, 771,713.82 and 317,484.12

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Solution

The fourth proportional to 559,206.48, 771,713.82 and 317,484.12 is: 438,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,206.48 : 771,713.82 = 317,484.12 : x
  2. Step 2: Convert to fraction form
    559,206.48/771,713.82 = 317,484.12/x
  3. Step 3: Cross multiply
    559,206.48x = 771,713.82 × 317,484.12
  4. Step 4: Simplify right side
    559,206.48x = 245,006,883,034.54
  5. Step 5: Solve for x
    x = 245,006,883,034.54/559,206.48
  6. Step 6: Final answer
    x = 438,133.13

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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.