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Finding the Fourth Proportional to 342,443.32, 472,464.66 and 206,518.84

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Solution

The fourth proportional to 342,443.32, 472,464.66 and 206,518.84 is: 284,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,443.32 : 472,464.66 = 206,518.84 : x
  2. Step 2: Convert to fraction form
    342,443.32/472,464.66 = 206,518.84/x
  3. Step 3: Cross multiply
    342,443.32x = 472,464.66 × 206,518.84
  4. Step 4: Simplify right side
    342,443.32x = 97,572,853,117.48
  5. Step 5: Solve for x
    x = 97,572,853,117.48/342,443.32
  6. Step 6: Final answer
    x = 284,931.40

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1.5x scale

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.