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Finding the Fourth Proportional to 564,063.54, 778,281.81 and 334,504.20

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Solution

The fourth proportional to 564,063.54, 778,281.81 and 334,504.20 is: 461,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,063.54 : 778,281.81 = 334,504.20 : x
  2. Step 2: Convert to fraction form
    564,063.54/778,281.81 = 334,504.20/x
  3. Step 3: Cross multiply
    564,063.54x = 778,281.81 × 334,504.20
  4. Step 4: Simplify right side
    564,063.54x = 260,338,534,228.60
  5. Step 5: Solve for x
    x = 260,338,534,228.60/564,063.54
  6. Step 6: Final answer
    x = 461,541.15

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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.