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Finding the Fourth Proportional to 584,658.40, 877,643.70 and 452,126.20

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Solution

The fourth proportional to 584,658.40, 877,643.70 and 452,126.20 is: 678,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,658.40 : 877,643.70 = 452,126.20 : x
  2. Step 2: Convert to fraction form
    584,658.40/877,643.70 = 452,126.20/x
  3. Step 3: Cross multiply
    584,658.40x = 877,643.70 × 452,126.20
  4. Step 4: Simplify right side
    584,658.40x = 396,805,711,034.94
  5. Step 5: Solve for x
    x = 396,805,711,034.94/584,658.40
  6. Step 6: Final answer
    x = 678,696.67

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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.