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Finding the Fourth Proportional to 602,007.97, 830,295.46 and 533,169.64

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Solution

The fourth proportional to 602,007.97, 830,295.46 and 533,169.64 is: 735,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,007.97 : 830,295.46 = 533,169.64 : x
  2. Step 2: Convert to fraction form
    602,007.97/830,295.46 = 533,169.64/x
  3. Step 3: Cross multiply
    602,007.97x = 830,295.46 × 533,169.64
  4. Step 4: Simplify right side
    602,007.97x = 442,688,333,206.17
  5. Step 5: Solve for x
    x = 442,688,333,206.17/602,007.97
  6. Step 6: Final answer
    x = 735,352.94

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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.