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Finding the Fourth Proportional to 315,603.84, 473,458.56 and 105,306.24

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Solution

The fourth proportional to 315,603.84, 473,458.56 and 105,306.24 is: 157,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,603.84 : 473,458.56 = 105,306.24 : x
  2. Step 2: Convert to fraction form
    315,603.84/473,458.56 = 105,306.24/x
  3. Step 3: Cross multiply
    315,603.84x = 473,458.56 × 105,306.24
  4. Step 4: Simplify right side
    315,603.84x = 49,858,140,749.41
  5. Step 5: Solve for x
    x = 49,858,140,749.41/315,603.84
  6. Step 6: Final answer
    x = 157,976.98

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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.