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Finding the Fourth Proportional to 569,283.34, 785,102.51 and 472,333.70

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Solution

The fourth proportional to 569,283.34, 785,102.51 and 472,333.70 is: 651,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,283.34 : 785,102.51 = 472,333.70 : x
  2. Step 2: Convert to fraction form
    569,283.34/785,102.51 = 472,333.70/x
  3. Step 3: Cross multiply
    569,283.34x = 785,102.51 × 472,333.70
  4. Step 4: Simplify right side
    569,283.34x = 370,830,376,571.18
  5. Step 5: Solve for x
    x = 370,830,376,571.18/569,283.34
  6. Step 6: Final answer
    x = 651,398.61

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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.