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Finding the Fourth Proportional to 360,864.98, 541,295.04 and 282,045.50

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Solution

The fourth proportional to 360,864.98, 541,295.04 and 282,045.50 is: 423,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,864.98 : 541,295.04 = 282,045.50 : x
  2. Step 2: Convert to fraction form
    360,864.98/541,295.04 = 282,045.50/x
  3. Step 3: Cross multiply
    360,864.98x = 541,295.04 × 282,045.50
  4. Step 4: Simplify right side
    360,864.98x = 152,669,830,204.32
  5. Step 5: Solve for x
    x = 152,669,830,204.32/360,864.98
  6. Step 6: Final answer
    x = 423,066.35

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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.