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Finding the Fourth Proportional to 384,162.08, 576,394.32 and 194,518.40

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Solution

The fourth proportional to 384,162.08, 576,394.32 and 194,518.40 is: 291,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,162.08 : 576,394.32 = 194,518.40 : x
  2. Step 2: Convert to fraction form
    384,162.08/576,394.32 = 194,518.40/x
  3. Step 3: Cross multiply
    384,162.08x = 576,394.32 × 194,518.40
  4. Step 4: Simplify right side
    384,162.08x = 112,119,300,895.49
  5. Step 5: Solve for x
    x = 112,119,300,895.49/384,162.08
  6. Step 6: Final answer
    x = 291,854.16

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1.5x scale

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.