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Finding the Fourth Proportional to 310,547.81, 465,821.82 and 97,332.27

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Solution

The fourth proportional to 310,547.81, 465,821.82 and 97,332.27 is: 145,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,547.81 : 465,821.82 = 97,332.27 : x
  2. Step 2: Convert to fraction form
    310,547.81/465,821.82 = 97,332.27/x
  3. Step 3: Cross multiply
    310,547.81x = 465,821.82 × 97,332.27
  4. Step 4: Simplify right side
    310,547.81x = 45,339,495,156.13
  5. Step 5: Solve for x
    x = 45,339,495,156.13/310,547.81
  6. Step 6: Final answer
    x = 145,998.44

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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.