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Finding the Fourth Proportional to 716,424.86, 988,807.63 and 410,706.53

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Solution

The fourth proportional to 716,424.86, 988,807.63 and 410,706.53 is: 566,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,424.86 : 988,807.63 = 410,706.53 : x
  2. Step 2: Convert to fraction form
    716,424.86/988,807.63 = 410,706.53/x
  3. Step 3: Cross multiply
    716,424.86x = 988,807.63 × 410,706.53
  4. Step 4: Simplify right side
    716,424.86x = 406,109,745,125.99
  5. Step 5: Solve for x
    x = 406,109,745,125.99/716,424.86
  6. Step 6: Final answer
    x = 566,856.02

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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.