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Finding the Fourth Proportional to 563,106.64, 842,696.40 and 460,721.40

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Solution

The fourth proportional to 563,106.64, 842,696.40 and 460,721.40 is: 689,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,106.64 : 842,696.40 = 460,721.40 : x
  2. Step 2: Convert to fraction form
    563,106.64/842,696.40 = 460,721.40/x
  3. Step 3: Cross multiply
    563,106.64x = 842,696.40 × 460,721.40
  4. Step 4: Simplify right side
    563,106.64x = 388,248,265,182.96
  5. Step 5: Solve for x
    x = 388,248,265,182.96/563,106.64
  6. Step 6: Final answer
    x = 689,475.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.