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Finding the Fourth Proportional to 429,636.64, 592,803.12 and 259,867.12

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Solution

The fourth proportional to 429,636.64, 592,803.12 and 259,867.12 is: 358,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,636.64 : 592,803.12 = 259,867.12 : x
  2. Step 2: Convert to fraction form
    429,636.64/592,803.12 = 259,867.12/x
  3. Step 3: Cross multiply
    429,636.64x = 592,803.12 × 259,867.12
  4. Step 4: Simplify right side
    429,636.64x = 154,050,039,521.41
  5. Step 5: Solve for x
    x = 154,050,039,521.41/429,636.64
  6. Step 6: Final answer
    x = 358,558.90

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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.