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Finding the Fourth Proportional to 438,701.80, 656,886.30 and 280,071.40

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Solution

The fourth proportional to 438,701.80, 656,886.30 and 280,071.40 is: 419,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,701.80 : 656,886.30 = 280,071.40 : x
  2. Step 2: Convert to fraction form
    438,701.80/656,886.30 = 280,071.40/x
  3. Step 3: Cross multiply
    438,701.80x = 656,886.30 × 280,071.40
  4. Step 4: Simplify right side
    438,701.80x = 183,975,065,681.82
  5. Step 5: Solve for x
    x = 183,975,065,681.82/438,701.80
  6. Step 6: Final answer
    x = 419,362.46

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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.