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Finding the Fourth Proportional to 777,897, 1,167,042.33 and 216,931.50

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Solution

The fourth proportional to 777,897, 1,167,042.33 and 216,931.50 is: 325,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,897 : 1,167,042.33 = 216,931.50 : x
  2. Step 2: Convert to fraction form
    777,897/1,167,042.33 = 216,931.50/x
  3. Step 3: Cross multiply
    777,897x = 1,167,042.33 × 216,931.50
  4. Step 4: Simplify right side
    777,897x = 253,168,243,210.40
  5. Step 5: Solve for x
    x = 253,168,243,210.40/777,897
  6. Step 6: Final answer
    x = 325,452.14

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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.