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Finding the Fourth Proportional to 310,931.13, 466,478.15 and 97,690.43

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Solution

The fourth proportional to 310,931.13, 466,478.15 and 97,690.43 is: 146,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,931.13 : 466,478.15 = 97,690.43 : x
  2. Step 2: Convert to fraction form
    310,931.13/466,478.15 = 97,690.43/x
  3. Step 3: Cross multiply
    310,931.13x = 466,478.15 × 97,690.43
  4. Step 4: Simplify right side
    310,931.13x = 45,570,448,238.26
  5. Step 5: Solve for x
    x = 45,570,448,238.26/310,931.13
  6. Step 6: Final answer
    x = 146,561.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.