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Finding the Fourth Proportional to 563,718.89, 777,963.89 and 334,411.94

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Solution

The fourth proportional to 563,718.89, 777,963.89 and 334,411.94 is: 461,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,718.89 : 777,963.89 = 334,411.94 : x
  2. Step 2: Convert to fraction form
    563,718.89/777,963.89 = 334,411.94/x
  3. Step 3: Cross multiply
    563,718.89x = 777,963.89 × 334,411.94
  4. Step 4: Simplify right side
    563,718.89x = 260,160,416,485.79
  5. Step 5: Solve for x
    x = 260,160,416,485.79/563,718.89
  6. Step 6: Final answer
    x = 461,507.36

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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.