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Finding the Fourth Proportional to 971,472.90, 1,340,599.80 and 535,907.67

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Solution

The fourth proportional to 971,472.90, 1,340,599.80 and 535,907.67 is: 739,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,472.90 : 1,340,599.80 = 535,907.67 : x
  2. Step 2: Convert to fraction form
    971,472.90/1,340,599.80 = 535,907.67/x
  3. Step 3: Cross multiply
    971,472.90x = 1,340,599.80 × 535,907.67
  4. Step 4: Simplify right side
    971,472.90x = 718,437,715,220.47
  5. Step 5: Solve for x
    x = 718,437,715,220.47/971,472.90
  6. Step 6: Final answer
    x = 739,534.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.