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Finding the Fourth Proportional to 691,970.64, 954,897.82 and 405,681.40

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Solution

The fourth proportional to 691,970.64, 954,897.82 and 405,681.40 is: 559,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,970.64 : 954,897.82 = 405,681.40 : x
  2. Step 2: Convert to fraction form
    691,970.64/954,897.82 = 405,681.40/x
  3. Step 3: Cross multiply
    691,970.64x = 954,897.82 × 405,681.40
  4. Step 4: Simplify right side
    691,970.64x = 387,384,284,474.55
  5. Step 5: Solve for x
    x = 387,384,284,474.55/691,970.64
  6. Step 6: Final answer
    x = 559,827.63

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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.