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Finding the Fourth Proportional to 310,024.80, 465,037.54 and 123,036.30

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Solution

The fourth proportional to 310,024.80, 465,037.54 and 123,036.30 is: 184,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,024.80 : 465,037.54 = 123,036.30 : x
  2. Step 2: Convert to fraction form
    310,024.80/465,037.54 = 123,036.30/x
  3. Step 3: Cross multiply
    310,024.80x = 465,037.54 × 123,036.30
  4. Step 4: Simplify right side
    310,024.80x = 57,216,497,975.11
  5. Step 5: Solve for x
    x = 57,216,497,975.11/310,024.80
  6. Step 6: Final answer
    x = 184,554.58

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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.