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Finding the Fourth Proportional to 834,907.64, 1,152,172.72 and 472,324

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Solution

The fourth proportional to 834,907.64, 1,152,172.72 and 472,324 is: 651,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,907.64 : 1,152,172.72 = 472,324 : x
  2. Step 2: Convert to fraction form
    834,907.64/1,152,172.72 = 472,324/x
  3. Step 3: Cross multiply
    834,907.64x = 1,152,172.72 × 472,324
  4. Step 4: Simplify right side
    834,907.64x = 544,198,827,801.28
  5. Step 5: Solve for x
    x = 544,198,827,801.28/834,907.64
  6. Step 6: Final answer
    x = 651,807.22

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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.