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Finding the Fourth Proportional to 563,826.64, 778,042.76 and 309,172.40

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Solution

The fourth proportional to 563,826.64, 778,042.76 and 309,172.40 is: 426,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,826.64 : 778,042.76 = 309,172.40 : x
  2. Step 2: Convert to fraction form
    563,826.64/778,042.76 = 309,172.40/x
  3. Step 3: Cross multiply
    563,826.64x = 778,042.76 × 309,172.40
  4. Step 4: Simplify right side
    563,826.64x = 240,549,347,411.82
  5. Step 5: Solve for x
    x = 240,549,347,411.82/563,826.64
  6. Step 6: Final answer
    x = 426,637.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.