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Finding the Fourth Proportional to 286,647.66, 429,675.03 and 97,045.29

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Solution

The fourth proportional to 286,647.66, 429,675.03 and 97,045.29 is: 145,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,647.66 : 429,675.03 = 97,045.29 : x
  2. Step 2: Convert to fraction form
    286,647.66/429,675.03 = 97,045.29/x
  3. Step 3: Cross multiply
    286,647.66x = 429,675.03 × 97,045.29
  4. Step 4: Simplify right side
    286,647.66x = 41,697,937,892.11
  5. Step 5: Solve for x
    x = 41,697,937,892.11/286,647.66
  6. Step 6: Final answer
    x = 145,467.57

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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.