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Finding the Fourth Proportional to 315,468, 473,205.24 and 93,852

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Solution

The fourth proportional to 315,468, 473,205.24 and 93,852 is: 140,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,468 : 473,205.24 = 93,852 : x
  2. Step 2: Convert to fraction form
    315,468/473,205.24 = 93,852/x
  3. Step 3: Cross multiply
    315,468x = 473,205.24 × 93,852
  4. Step 4: Simplify right side
    315,468x = 44,411,258,184.48
  5. Step 5: Solve for x
    x = 44,411,258,184.48/315,468
  6. Step 6: Final answer
    x = 140,778.96

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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.