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Finding the Fourth Proportional to 610,468.38, 842,499.63 and 355,814.10

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Solution

The fourth proportional to 610,468.38, 842,499.63 and 355,814.10 is: 491,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,468.38 : 842,499.63 = 355,814.10 : x
  2. Step 2: Convert to fraction form
    610,468.38/842,499.63 = 355,814.10/x
  3. Step 3: Cross multiply
    610,468.38x = 842,499.63 × 355,814.10
  4. Step 4: Simplify right side
    610,468.38x = 299,773,247,598.78
  5. Step 5: Solve for x
    x = 299,773,247,598.78/610,468.38
  6. Step 6: Final answer
    x = 491,054.50

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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.