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Finding the Fourth Proportional to 360,852.48, 541,276.29 and 282,033

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Solution

The fourth proportional to 360,852.48, 541,276.29 and 282,033 is: 423,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,852.48 : 541,276.29 = 282,033 : x
  2. Step 2: Convert to fraction form
    360,852.48/541,276.29 = 282,033/x
  3. Step 3: Cross multiply
    360,852.48x = 541,276.29 × 282,033
  4. Step 4: Simplify right side
    360,852.48x = 152,657,775,897.57
  5. Step 5: Solve for x
    x = 152,657,775,897.57/360,852.48
  6. Step 6: Final answer
    x = 423,047.60

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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.