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Finding the Fourth Proportional to 397,308, 596,336.52 and 144,832.50

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Solution

The fourth proportional to 397,308, 596,336.52 and 144,832.50 is: 217,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,308 : 596,336.52 = 144,832.50 : x
  2. Step 2: Convert to fraction form
    397,308/596,336.52 = 144,832.50/x
  3. Step 3: Cross multiply
    397,308x = 596,336.52 × 144,832.50
  4. Step 4: Simplify right side
    397,308x = 86,368,909,032.90
  5. Step 5: Solve for x
    x = 86,368,909,032.90/397,308
  6. Step 6: Final answer
    x = 217,385.28

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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.