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Finding the Fourth Proportional to 282,967.84, 424,381.20 and 83,248.48

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Solution

The fourth proportional to 282,967.84, 424,381.20 and 83,248.48 is: 124,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,967.84 : 424,381.20 = 83,248.48 : x
  2. Step 2: Convert to fraction form
    282,967.84/424,381.20 = 83,248.48/x
  3. Step 3: Cross multiply
    282,967.84x = 424,381.20 × 83,248.48
  4. Step 4: Simplify right side
    282,967.84x = 35,329,089,840.58
  5. Step 5: Solve for x
    x = 35,329,089,840.58/282,967.84
  6. Step 6: Final answer
    x = 124,851.96

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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.