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Finding the Fourth Proportional to 310,043.10, 465,064.65 and 307,710.30

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Solution

The fourth proportional to 310,043.10, 465,064.65 and 307,710.30 is: 461,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,043.10 : 465,064.65 = 307,710.30 : x
  2. Step 2: Convert to fraction form
    310,043.10/465,064.65 = 307,710.30/x
  3. Step 3: Cross multiply
    310,043.10x = 465,064.65 × 307,710.30
  4. Step 4: Simplify right side
    310,043.10x = 143,105,182,970.90
  5. Step 5: Solve for x
    x = 143,105,182,970.90/310,043.10
  6. Step 6: Final answer
    x = 461,565.45

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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.