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Finding the Fourth Proportional to 310,672.32, 466,014.16 and 97,435.48

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Solution

The fourth proportional to 310,672.32, 466,014.16 and 97,435.48 is: 146,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,672.32 : 466,014.16 = 97,435.48 : x
  2. Step 2: Convert to fraction form
    310,672.32/466,014.16 = 97,435.48/x
  3. Step 3: Cross multiply
    310,672.32x = 466,014.16 × 97,435.48
  4. Step 4: Simplify right side
    310,672.32x = 45,406,313,366.40
  5. Step 5: Solve for x
    x = 45,406,313,366.40/310,672.32
  6. Step 6: Final answer
    x = 146,155.00

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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.