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Finding the Fourth Proportional to 517,586.98, 714,302.66 and 313,655.74

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Solution

The fourth proportional to 517,586.98, 714,302.66 and 313,655.74 is: 432,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,586.98 : 714,302.66 = 313,655.74 : x
  2. Step 2: Convert to fraction form
    517,586.98/714,302.66 = 313,655.74/x
  3. Step 3: Cross multiply
    517,586.98x = 714,302.66 × 313,655.74
  4. Step 4: Simplify right side
    517,586.98x = 224,045,129,406.27
  5. Step 5: Solve for x
    x = 224,045,129,406.27/517,586.98
  6. Step 6: Final answer
    x = 432,864.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.