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Finding the Fourth Proportional to 403,641, 557,024.76 and 233,973.54

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Solution

The fourth proportional to 403,641, 557,024.76 and 233,973.54 is: 322,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,641 : 557,024.76 = 233,973.54 : x
  2. Step 2: Convert to fraction form
    403,641/557,024.76 = 233,973.54/x
  3. Step 3: Cross multiply
    403,641x = 557,024.76 × 233,973.54
  4. Step 4: Simplify right side
    403,641x = 130,329,054,964.85
  5. Step 5: Solve for x
    x = 130,329,054,964.85/403,641
  6. Step 6: Final answer
    x = 322,883.59

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1.5x scale

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.