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Finding the Fourth Proportional to 433,509.68, 597,432.84 and 312,441.68

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Solution

The fourth proportional to 433,509.68, 597,432.84 and 312,441.68 is: 430,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,509.68 : 597,432.84 = 312,441.68 : x
  2. Step 2: Convert to fraction form
    433,509.68/597,432.84 = 312,441.68/x
  3. Step 3: Cross multiply
    433,509.68x = 597,432.84 × 312,441.68
  4. Step 4: Simplify right side
    433,509.68x = 186,662,920,216.77
  5. Step 5: Solve for x
    x = 186,662,920,216.77/433,509.68
  6. Step 6: Final answer
    x = 430,585.36

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