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Finding the Fourth Proportional to 310,938.66, 429,062.26 and 174,970.24

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Solution

The fourth proportional to 310,938.66, 429,062.26 and 174,970.24 is: 241,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,938.66 : 429,062.26 = 174,970.24 : x
  2. Step 2: Convert to fraction form
    310,938.66/429,062.26 = 174,970.24/x
  3. Step 3: Cross multiply
    310,938.66x = 429,062.26 × 174,970.24
  4. Step 4: Simplify right side
    310,938.66x = 75,073,126,607.14
  5. Step 5: Solve for x
    x = 75,073,126,607.14/310,938.66
  6. Step 6: Final answer
    x = 241,440.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.