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Finding the Fourth Proportional to 413,322.98, 570,654.66 and 252,271.40

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Solution

The fourth proportional to 413,322.98, 570,654.66 and 252,271.40 is: 348,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,322.98 : 570,654.66 = 252,271.40 : x
  2. Step 2: Convert to fraction form
    413,322.98/570,654.66 = 252,271.40/x
  3. Step 3: Cross multiply
    413,322.98x = 570,654.66 × 252,271.40
  4. Step 4: Simplify right side
    413,322.98x = 143,959,849,994.72
  5. Step 5: Solve for x
    x = 143,959,849,994.72/413,322.98
  6. Step 6: Final answer
    x = 348,298.68

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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.