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Finding the Fourth Proportional to 532,658.55, 734,877.80 and 314,821.51

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Solution

The fourth proportional to 532,658.55, 734,877.80 and 314,821.51 is: 434,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,658.55 : 734,877.80 = 314,821.51 : x
  2. Step 2: Convert to fraction form
    532,658.55/734,877.80 = 314,821.51/x
  3. Step 3: Cross multiply
    532,658.55x = 734,877.80 × 314,821.51
  4. Step 4: Simplify right side
    532,658.55x = 231,355,338,661.48
  5. Step 5: Solve for x
    x = 231,355,338,661.48/532,658.55
  6. Step 6: Final answer
    x = 434,340.80

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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.