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Finding the Fourth Proportional to 350,140.20, 525,210.30 and 314,710.80

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Solution

The fourth proportional to 350,140.20, 525,210.30 and 314,710.80 is: 472,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,140.20 : 525,210.30 = 314,710.80 : x
  2. Step 2: Convert to fraction form
    350,140.20/525,210.30 = 314,710.80/x
  3. Step 3: Cross multiply
    350,140.20x = 525,210.30 × 314,710.80
  4. Step 4: Simplify right side
    350,140.20x = 165,289,353,681.24
  5. Step 5: Solve for x
    x = 165,289,353,681.24/350,140.20
  6. Step 6: Final answer
    x = 472,066.20

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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.