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Finding the Fourth Proportional to 286,393.50, 429,482.25 and 230,095.26

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Solution

The fourth proportional to 286,393.50, 429,482.25 and 230,095.26 is: 345,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,393.50 : 429,482.25 = 230,095.26 : x
  2. Step 2: Convert to fraction form
    286,393.50/429,482.25 = 230,095.26/x
  3. Step 3: Cross multiply
    286,393.50x = 429,482.25 × 230,095.26
  4. Step 4: Simplify right side
    286,393.50x = 98,821,829,979.14
  5. Step 5: Solve for x
    x = 98,821,829,979.14/286,393.50
  6. Step 6: Final answer
    x = 345,056.12

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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.