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Finding the Fourth Proportional to 315,903.16, 473,356.59 and 115,948.45

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Solution

The fourth proportional to 315,903.16, 473,356.59 and 115,948.45 is: 173,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,903.16 : 473,356.59 = 115,948.45 : x
  2. Step 2: Convert to fraction form
    315,903.16/473,356.59 = 115,948.45/x
  3. Step 3: Cross multiply
    315,903.16x = 473,356.59 × 115,948.45
  4. Step 4: Simplify right side
    315,903.16x = 54,884,962,907.79
  5. Step 5: Solve for x
    x = 54,884,962,907.79/315,903.16
  6. Step 6: Final answer
    x = 173,739.84

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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.