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Finding the Fourth Proportional to 536,903.82, 805,396.96 and 176,934.66

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Solution

The fourth proportional to 536,903.82, 805,396.96 and 176,934.66 is: 265,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,903.82 : 805,396.96 = 176,934.66 : x
  2. Step 2: Convert to fraction form
    536,903.82/805,396.96 = 176,934.66/x
  3. Step 3: Cross multiply
    536,903.82x = 805,396.96 × 176,934.66
  4. Step 4: Simplify right side
    536,903.82x = 142,502,637,282.63
  5. Step 5: Solve for x
    x = 142,502,637,282.63/536,903.82
  6. Step 6: Final answer
    x = 265,415.58

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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.