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Finding the Fourth Proportional to 340,709.80, 511,064.70 and 307,532.20

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Solution

The fourth proportional to 340,709.80, 511,064.70 and 307,532.20 is: 461,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,709.80 : 511,064.70 = 307,532.20 : x
  2. Step 2: Convert to fraction form
    340,709.80/511,064.70 = 307,532.20/x
  3. Step 3: Cross multiply
    340,709.80x = 511,064.70 × 307,532.20
  4. Step 4: Simplify right side
    340,709.80x = 157,168,851,533.34
  5. Step 5: Solve for x
    x = 157,168,851,533.34/340,709.80
  6. Step 6: Final answer
    x = 461,298.30

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1.5x scale

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.