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Finding the Fourth Proportional to 563,712.30, 777,954.79 and 334,405.35

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Solution

The fourth proportional to 563,712.30, 777,954.79 and 334,405.35 is: 461,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,712.30 : 777,954.79 = 334,405.35 : x
  2. Step 2: Convert to fraction form
    563,712.30/777,954.79 = 334,405.35/x
  3. Step 3: Cross multiply
    563,712.30x = 777,954.79 × 334,405.35
  4. Step 4: Simplify right side
    563,712.30x = 260,152,243,834.13
  5. Step 5: Solve for x
    x = 260,152,243,834.13/563,712.30
  6. Step 6: Final answer
    x = 461,498.26

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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.