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Finding the Fourth Proportional to 423,506.16, 634,662 and 234,051.84

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Solution

The fourth proportional to 423,506.16, 634,662 and 234,051.84 is: 350,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,506.16 : 634,662 = 234,051.84 : x
  2. Step 2: Convert to fraction form
    423,506.16/634,662 = 234,051.84/x
  3. Step 3: Cross multiply
    423,506.16x = 634,662 × 234,051.84
  4. Step 4: Simplify right side
    423,506.16x = 148,543,808,878.08
  5. Step 5: Solve for x
    x = 148,543,808,878.08/423,506.16
  6. Step 6: Final answer
    x = 350,747.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.