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Finding the Fourth Proportional to 413,492.40, 570,681.22 and 252,440.82

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Solution

The fourth proportional to 413,492.40, 570,681.22 and 252,440.82 is: 348,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,492.40 : 570,681.22 = 252,440.82 : x
  2. Step 2: Convert to fraction form
    413,492.40/570,681.22 = 252,440.82/x
  3. Step 3: Cross multiply
    413,492.40x = 570,681.22 × 252,440.82
  4. Step 4: Simplify right side
    413,492.40x = 144,063,235,135.40
  5. Step 5: Solve for x
    x = 144,063,235,135.40/413,492.40
  6. Step 6: Final answer
    x = 348,406.00

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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.