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Finding the Fourth Proportional to 310,648.75, 466,070.93 and 110,964.71

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Solution

The fourth proportional to 310,648.75, 466,070.93 and 110,964.71 is: 166,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,648.75 : 466,070.93 = 110,964.71 : x
  2. Step 2: Convert to fraction form
    310,648.75/466,070.93 = 110,964.71/x
  3. Step 3: Cross multiply
    310,648.75x = 466,070.93 × 110,964.71
  4. Step 4: Simplify right side
    310,648.75x = 51,717,425,032.06
  5. Step 5: Solve for x
    x = 51,717,425,032.06/310,648.75
  6. Step 6: Final answer
    x = 166,482.00

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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.