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Finding the Fourth Proportional to 310,907.08, 429,042 and 174,948.76

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Solution

The fourth proportional to 310,907.08, 429,042 and 174,948.76 is: 241,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,907.08 : 429,042 = 174,948.76 : x
  2. Step 2: Convert to fraction form
    310,907.08/429,042 = 174,948.76/x
  3. Step 3: Cross multiply
    310,907.08x = 429,042 × 174,948.76
  4. Step 4: Simplify right side
    310,907.08x = 75,060,365,887.92
  5. Step 5: Solve for x
    x = 75,060,365,887.92/310,907.08
  6. Step 6: Final answer
    x = 241,423.79

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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.