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Finding the Fourth Proportional to 563,718.15, 777,962.83 and 334,411.20

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Solution

The fourth proportional to 563,718.15, 777,962.83 and 334,411.20 is: 461,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,718.15 : 777,962.83 = 334,411.20 : x
  2. Step 2: Convert to fraction form
    563,718.15/777,962.83 = 334,411.20/x
  3. Step 3: Cross multiply
    563,718.15x = 777,962.83 × 334,411.20
  4. Step 4: Simplify right side
    563,718.15x = 260,159,479,645.88
  5. Step 5: Solve for x
    x = 260,159,479,645.88/563,718.15
  6. Step 6: Final answer
    x = 461,506.31

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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.