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Finding the Fourth Proportional to 569,106.84, 785,367.18 and 314,455.80

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Solution

The fourth proportional to 569,106.84, 785,367.18 and 314,455.80 is: 433,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,106.84 : 785,367.18 = 314,455.80 : x
  2. Step 2: Convert to fraction form
    569,106.84/785,367.18 = 314,455.80/x
  3. Step 3: Cross multiply
    569,106.84x = 785,367.18 × 314,455.80
  4. Step 4: Simplify right side
    569,106.84x = 246,963,264,880.64
  5. Step 5: Solve for x
    x = 246,963,264,880.64/569,106.84
  6. Step 6: Final answer
    x = 433,948.86

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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.