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Finding the Fourth Proportional to 298,706.16, 448,070.13 and 99,044.01

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Solution

The fourth proportional to 298,706.16, 448,070.13 and 99,044.01 is: 148,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,706.16 : 448,070.13 = 99,044.01 : x
  2. Step 2: Convert to fraction form
    298,706.16/448,070.13 = 99,044.01/x
  3. Step 3: Cross multiply
    298,706.16x = 448,070.13 × 99,044.01
  4. Step 4: Simplify right side
    298,706.16x = 44,378,662,436.42
  5. Step 5: Solve for x
    x = 44,378,662,436.42/298,706.16
  6. Step 6: Final answer
    x = 148,569.63

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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.