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Finding the Fourth Proportional to 315,384.40, 473,152.20 and 105,024.24

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Solution

The fourth proportional to 315,384.40, 473,152.20 and 105,024.24 is: 157,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,384.40 : 473,152.20 = 105,024.24 : x
  2. Step 2: Convert to fraction form
    315,384.40/473,152.20 = 105,024.24/x
  3. Step 3: Cross multiply
    315,384.40x = 473,152.20 × 105,024.24
  4. Step 4: Simplify right side
    315,384.40x = 49,692,450,209.33
  5. Step 5: Solve for x
    x = 49,692,450,209.33/315,384.40
  6. Step 6: Final answer
    x = 157,561.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.