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Finding the Fourth Proportional to 346,032.64, 477,395.76 and 232,675.84

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Solution

The fourth proportional to 346,032.64, 477,395.76 and 232,675.84 is: 321,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,032.64 : 477,395.76 = 232,675.84 : x
  2. Step 2: Convert to fraction form
    346,032.64/477,395.76 = 232,675.84/x
  3. Step 3: Cross multiply
    346,032.64x = 477,395.76 × 232,675.84
  4. Step 4: Simplify right side
    346,032.64x = 111,078,459,470.44
  5. Step 5: Solve for x
    x = 111,078,459,470.44/346,032.64
  6. Step 6: Final answer
    x = 321,005.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.