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Finding the Fourth Proportional to 614,302.14, 921,449.54 and 158,893.40

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Solution

The fourth proportional to 614,302.14, 921,449.54 and 158,893.40 is: 238,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,302.14 : 921,449.54 = 158,893.40 : x
  2. Step 2: Convert to fraction form
    614,302.14/921,449.54 = 158,893.40/x
  3. Step 3: Cross multiply
    614,302.14x = 921,449.54 × 158,893.40
  4. Step 4: Simplify right side
    614,302.14x = 146,412,250,339.04
  5. Step 5: Solve for x
    x = 146,412,250,339.04/614,302.14
  6. Step 6: Final answer
    x = 238,339.15

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1.5x scale

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.