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Finding the Fourth Proportional to 288,702.36, 433,043.82 and 101,709

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Solution

The fourth proportional to 288,702.36, 433,043.82 and 101,709 is: 152,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702.36 : 433,043.82 = 101,709 : x
  2. Step 2: Convert to fraction form
    288,702.36/433,043.82 = 101,709/x
  3. Step 3: Cross multiply
    288,702.36x = 433,043.82 × 101,709
  4. Step 4: Simplify right side
    288,702.36x = 44,044,453,888.38
  5. Step 5: Solve for x
    x = 44,044,453,888.38/288,702.36
  6. Step 6: Final answer
    x = 152,560.08

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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.