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Finding the Fourth Proportional to 304,827.68, 457,074.48 and 94,407.20

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Solution

The fourth proportional to 304,827.68, 457,074.48 and 94,407.20 is: 141,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,827.68 : 457,074.48 = 94,407.20 : x
  2. Step 2: Convert to fraction form
    304,827.68/457,074.48 = 94,407.20/x
  3. Step 3: Cross multiply
    304,827.68x = 457,074.48 × 94,407.20
  4. Step 4: Simplify right side
    304,827.68x = 43,151,121,848.26
  5. Step 5: Solve for x
    x = 43,151,121,848.26/304,827.68
  6. Step 6: Final answer
    x = 141,559.07

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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.