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Finding the Fourth Proportional to 299,401.47, 448,970.94 and 112,281.75

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Solution

The fourth proportional to 299,401.47, 448,970.94 and 112,281.75 is: 168,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,401.47 : 448,970.94 = 112,281.75 : x
  2. Step 2: Convert to fraction form
    299,401.47/448,970.94 = 112,281.75/x
  3. Step 3: Cross multiply
    299,401.47x = 448,970.94 × 112,281.75
  4. Step 4: Simplify right side
    299,401.47x = 50,411,242,842.35
  5. Step 5: Solve for x
    x = 50,411,242,842.35/299,401.47
  6. Step 6: Final answer
    x = 168,373.40

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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.