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Finding the Fourth Proportional to 315,047.40, 472,570.11 and 78,390.06

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Solution

The fourth proportional to 315,047.40, 472,570.11 and 78,390.06 is: 117,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,047.40 : 472,570.11 = 78,390.06 : x
  2. Step 2: Convert to fraction form
    315,047.40/472,570.11 = 78,390.06/x
  3. Step 3: Cross multiply
    315,047.40x = 472,570.11 × 78,390.06
  4. Step 4: Simplify right side
    315,047.40x = 37,044,799,277.11
  5. Step 5: Solve for x
    x = 37,044,799,277.11/315,047.40
  6. Step 6: Final answer
    x = 117,584.84

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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.