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Finding the Fourth Proportional to 652,171.40, 977,090.70 and 402,561.80

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Solution

The fourth proportional to 652,171.40, 977,090.70 and 402,561.80 is: 603,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,171.40 : 977,090.70 = 402,561.80 : x
  2. Step 2: Convert to fraction form
    652,171.40/977,090.70 = 402,561.80/x
  3. Step 3: Cross multiply
    652,171.40x = 977,090.70 × 402,561.80
  4. Step 4: Simplify right side
    652,171.40x = 393,339,390,955.26
  5. Step 5: Solve for x
    x = 393,339,390,955.26/652,171.40
  6. Step 6: Final answer
    x = 603,122.72

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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.