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Finding the Fourth Proportional to 315,461.60, 473,373.84 and 175,208.48

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Solution

The fourth proportional to 315,461.60, 473,373.84 and 175,208.48 is: 262,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,461.60 : 473,373.84 = 175,208.48 : x
  2. Step 2: Convert to fraction form
    315,461.60/473,373.84 = 175,208.48/x
  3. Step 3: Cross multiply
    315,461.60x = 473,373.84 × 175,208.48
  4. Step 4: Simplify right side
    315,461.60x = 82,939,110,978.16
  5. Step 5: Solve for x
    x = 82,939,110,978.16/315,461.60
  6. Step 6: Final answer
    x = 262,913.49

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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.