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Finding the Fourth Proportional to 307,510.80, 460,938.15 and 117,897.90

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Solution

The fourth proportional to 307,510.80, 460,938.15 and 117,897.90 is: 176,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,510.80 : 460,938.15 = 117,897.90 : x
  2. Step 2: Convert to fraction form
    307,510.80/460,938.15 = 117,897.90/x
  3. Step 3: Cross multiply
    307,510.80x = 460,938.15 × 117,897.90
  4. Step 4: Simplify right side
    307,510.80x = 54,343,639,914.89
  5. Step 5: Solve for x
    x = 54,343,639,914.89/307,510.80
  6. Step 6: Final answer
    x = 176,721.08

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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.