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Finding the Fourth Proportional to 310,718.09, 466,077.17 and 97,518.89

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Solution

The fourth proportional to 310,718.09, 466,077.17 and 97,518.89 is: 146,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,718.09 : 466,077.17 = 97,518.89 : x
  2. Step 2: Convert to fraction form
    310,718.09/466,077.17 = 97,518.89/x
  3. Step 3: Cross multiply
    310,718.09x = 466,077.17 × 97,518.89
  4. Step 4: Simplify right side
    310,718.09x = 45,451,325,454.76
  5. Step 5: Solve for x
    x = 45,451,325,454.76/310,718.09
  6. Step 6: Final answer
    x = 146,278.34

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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.