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Finding the Fourth Proportional to 423,854.48, 584,675.88 and 264,602

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Solution

The fourth proportional to 423,854.48, 584,675.88 and 264,602 is: 364,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,854.48 : 584,675.88 = 264,602 : x
  2. Step 2: Convert to fraction form
    423,854.48/584,675.88 = 264,602/x
  3. Step 3: Cross multiply
    423,854.48x = 584,675.88 × 264,602
  4. Step 4: Simplify right side
    423,854.48x = 154,706,407,199.76
  5. Step 5: Solve for x
    x = 154,706,407,199.76/423,854.48
  6. Step 6: Final answer
    x = 364,998.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.