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Finding the Fourth Proportional to 315,214.40, 472,864.80 and 104,830.40

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Solution

The fourth proportional to 315,214.40, 472,864.80 and 104,830.40 is: 157,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,214.40 : 472,864.80 = 104,830.40 : x
  2. Step 2: Convert to fraction form
    315,214.40/472,864.80 = 104,830.40/x
  3. Step 3: Cross multiply
    315,214.40x = 472,864.80 × 104,830.40
  4. Step 4: Simplify right side
    315,214.40x = 49,570,606,129.92
  5. Step 5: Solve for x
    x = 49,570,606,129.92/315,214.40
  6. Step 6: Final answer
    x = 157,259.97

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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.