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Finding the Fourth Proportional to 310,547.80, 465,821.70 and 216,069.40

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Solution

The fourth proportional to 310,547.80, 465,821.70 and 216,069.40 is: 324,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,547.80 : 465,821.70 = 216,069.40 : x
  2. Step 2: Convert to fraction form
    310,547.80/465,821.70 = 216,069.40/x
  3. Step 3: Cross multiply
    310,547.80x = 465,821.70 × 216,069.40
  4. Step 4: Simplify right side
    310,547.80x = 100,649,815,225.98
  5. Step 5: Solve for x
    x = 100,649,815,225.98/310,547.80
  6. Step 6: Final answer
    x = 324,104.10

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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.