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Finding the Fourth Proportional to 286,740.32, 427,962.13 and 282,010.36

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Solution

The fourth proportional to 286,740.32, 427,962.13 and 282,010.36 is: 420,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,740.32 : 427,962.13 = 282,010.36 : x
  2. Step 2: Convert to fraction form
    286,740.32/427,962.13 = 282,010.36/x
  3. Step 3: Cross multiply
    286,740.32x = 427,962.13 × 282,010.36
  4. Step 4: Simplify right side
    286,740.32x = 120,689,754,347.67
  5. Step 5: Solve for x
    x = 120,689,754,347.67/286,740.32
  6. Step 6: Final answer
    x = 420,902.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.