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Finding the Fourth Proportional to 532,614.40, 734,521.09 and 416,343.23

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Solution

The fourth proportional to 532,614.40, 734,521.09 and 416,343.23 is: 574,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,614.40 : 734,521.09 = 416,343.23 : x
  2. Step 2: Convert to fraction form
    532,614.40/734,521.09 = 416,343.23/x
  3. Step 3: Cross multiply
    532,614.40x = 734,521.09 × 416,343.23
  4. Step 4: Simplify right side
    532,614.40x = 305,812,883,909.17
  5. Step 5: Solve for x
    x = 305,812,883,909.17/532,614.40
  6. Step 6: Final answer
    x = 574,173.14

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1.5x scale

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.