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Finding the Fourth Proportional to 392,948.10, 589,422.15 and 97,460.10

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Solution

The fourth proportional to 392,948.10, 589,422.15 and 97,460.10 is: 146,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,948.10 : 589,422.15 = 97,460.10 : x
  2. Step 2: Convert to fraction form
    392,948.10/589,422.15 = 97,460.10/x
  3. Step 3: Cross multiply
    392,948.10x = 589,422.15 × 97,460.10
  4. Step 4: Simplify right side
    392,948.10x = 57,445,141,681.22
  5. Step 5: Solve for x
    x = 57,445,141,681.22/392,948.10
  6. Step 6: Final answer
    x = 146,190.15

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1.5x scale

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.