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Finding the Fourth Proportional to 477,429, 658,868.58 and 262,585.32

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Solution

The fourth proportional to 477,429, 658,868.58 and 262,585.32 is: 362,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,429 : 658,868.58 = 262,585.32 : x
  2. Step 2: Convert to fraction form
    477,429/658,868.58 = 262,585.32/x
  3. Step 3: Cross multiply
    477,429x = 658,868.58 × 262,585.32
  4. Step 4: Simplify right side
    477,429x = 173,009,216,917.25
  5. Step 5: Solve for x
    x = 173,009,216,917.25/477,429
  6. Step 6: Final answer
    x = 362,376.85

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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.