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Finding the Fourth Proportional to 553,463.40, 830,195.10 and 329,514.60

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Solution

The fourth proportional to 553,463.40, 830,195.10 and 329,514.60 is: 494,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,463.40 : 830,195.10 = 329,514.60 : x
  2. Step 2: Convert to fraction form
    553,463.40/830,195.10 = 329,514.60/x
  3. Step 3: Cross multiply
    553,463.40x = 830,195.10 × 329,514.60
  4. Step 4: Simplify right side
    553,463.40x = 273,561,406,298.46
  5. Step 5: Solve for x
    x = 273,561,406,298.46/553,463.40
  6. Step 6: Final answer
    x = 494,271.90

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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.