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Finding the Fourth Proportional to 282,987, 424,355.96 and 149,836.16

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Solution

The fourth proportional to 282,987, 424,355.96 and 149,836.16 is: 224,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,987 : 424,355.96 = 149,836.16 : x
  2. Step 2: Convert to fraction form
    282,987/424,355.96 = 149,836.16/x
  3. Step 3: Cross multiply
    282,987x = 424,355.96 × 149,836.16
  4. Step 4: Simplify right side
    282,987x = 63,583,868,954.99
  5. Step 5: Solve for x
    x = 63,583,868,954.99/282,987
  6. Step 6: Final answer
    x = 224,688.30

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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.