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Finding the Fourth Proportional to 286,623.40, 429,416.70 and 233,746.60

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Solution

The fourth proportional to 286,623.40, 429,416.70 and 233,746.60 is: 350,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,623.40 : 429,416.70 = 233,746.60 : x
  2. Step 2: Convert to fraction form
    286,623.40/429,416.70 = 233,746.60/x
  3. Step 3: Cross multiply
    286,623.40x = 429,416.70 × 233,746.60
  4. Step 4: Simplify right side
    286,623.40x = 100,374,693,608.22
  5. Step 5: Solve for x
    x = 100,374,693,608.22/286,623.40
  6. Step 6: Final answer
    x = 350,197.14

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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.