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Finding the Fourth Proportional to 315,085.40, 472,628.10 and 315,085.40

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Solution

The fourth proportional to 315,085.40, 472,628.10 and 315,085.40 is: 472,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,085.40 : 472,628.10 = 315,085.40 : x
  2. Step 2: Convert to fraction form
    315,085.40/472,628.10 = 315,085.40/x
  3. Step 3: Cross multiply
    315,085.40x = 472,628.10 × 315,085.40
  4. Step 4: Simplify right side
    315,085.40x = 148,918,213,939.74
  5. Step 5: Solve for x
    x = 148,918,213,939.74/315,085.40
  6. Step 6: Final answer
    x = 472,628.10

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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.