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Finding the Fourth Proportional to 304,762.10, 457,143.15 and 83,146.10

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Solution

The fourth proportional to 304,762.10, 457,143.15 and 83,146.10 is: 124,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,762.10 : 457,143.15 = 83,146.10 : x
  2. Step 2: Convert to fraction form
    304,762.10/457,143.15 = 83,146.10/x
  3. Step 3: Cross multiply
    304,762.10x = 457,143.15 × 83,146.10
  4. Step 4: Simplify right side
    304,762.10x = 38,009,670,064.22
  5. Step 5: Solve for x
    x = 38,009,670,064.22/304,762.10
  6. Step 6: Final answer
    x = 124,719.15

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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.