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Finding the Fourth Proportional to 229,417.58, 316,646.85 and 127,478.06

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Solution

The fourth proportional to 229,417.58, 316,646.85 and 127,478.06 is: 175,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,417.58 : 316,646.85 = 127,478.06 : x
  2. Step 2: Convert to fraction form
    229,417.58/316,646.85 = 127,478.06/x
  3. Step 3: Cross multiply
    229,417.58x = 316,646.85 × 127,478.06
  4. Step 4: Simplify right side
    229,417.58x = 40,365,526,143.11
  5. Step 5: Solve for x
    x = 40,365,526,143.11/229,417.58
  6. Step 6: Final answer
    x = 175,947.84

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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.