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Finding the Fourth Proportional to 298,970.28, 448,248.06 and 158,827.32

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Solution

The fourth proportional to 298,970.28, 448,248.06 and 158,827.32 is: 238,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,970.28 : 448,248.06 = 158,827.32 : x
  2. Step 2: Convert to fraction form
    298,970.28/448,248.06 = 158,827.32/x
  3. Step 3: Cross multiply
    298,970.28x = 448,248.06 × 158,827.32
  4. Step 4: Simplify right side
    298,970.28x = 71,194,038,065.00
  5. Step 5: Solve for x
    x = 71,194,038,065.00/298,970.28
  6. Step 6: Final answer
    x = 238,130.82

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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.