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Finding the Fourth Proportional to 556,208.64, 834,304.32 and 223,776

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Solution

The fourth proportional to 556,208.64, 834,304.32 and 223,776 is: 335,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,208.64 : 834,304.32 = 223,776 : x
  2. Step 2: Convert to fraction form
    556,208.64/834,304.32 = 223,776/x
  3. Step 3: Cross multiply
    556,208.64x = 834,304.32 × 223,776
  4. Step 4: Simplify right side
    556,208.64x = 186,697,283,512.32
  5. Step 5: Solve for x
    x = 186,697,283,512.32/556,208.64
  6. Step 6: Final answer
    x = 335,660.52

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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.