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Finding the Fourth Proportional to 661,829.64, 992,744.58 and 462,539.28

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Solution

The fourth proportional to 661,829.64, 992,744.58 and 462,539.28 is: 693,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,829.64 : 992,744.58 = 462,539.28 : x
  2. Step 2: Convert to fraction form
    661,829.64/992,744.58 = 462,539.28/x
  3. Step 3: Cross multiply
    661,829.64x = 992,744.58 × 462,539.28
  4. Step 4: Simplify right side
    661,829.64x = 459,183,363,257.10
  5. Step 5: Solve for x
    x = 459,183,363,257.10/661,829.64
  6. Step 6: Final answer
    x = 693,809.00

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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.