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Finding the Fourth Proportional to 641,709, 963,509.64 and 357,953.88

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Solution

The fourth proportional to 641,709, 963,509.64 and 357,953.88 is: 537,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,709 : 963,509.64 = 357,953.88 : x
  2. Step 2: Convert to fraction form
    641,709/963,509.64 = 357,953.88/x
  3. Step 3: Cross multiply
    641,709x = 963,509.64 × 357,953.88
  4. Step 4: Simplify right side
    641,709x = 344,892,014,055.40
  5. Step 5: Solve for x
    x = 344,892,014,055.40/641,709
  6. Step 6: Final answer
    x = 537,458.59

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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.