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Finding the Fourth Proportional to 565,242.32, 846,017.40 and 415,442.96

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Solution

The fourth proportional to 565,242.32, 846,017.40 and 415,442.96 is: 621,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,242.32 : 846,017.40 = 415,442.96 : x
  2. Step 2: Convert to fraction form
    565,242.32/846,017.40 = 415,442.96/x
  3. Step 3: Cross multiply
    565,242.32x = 846,017.40 × 415,442.96
  4. Step 4: Simplify right side
    565,242.32x = 351,471,972,867.50
  5. Step 5: Solve for x
    x = 351,471,972,867.50/565,242.32
  6. Step 6: Final answer
    x = 621,807.60

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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.