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Finding the Fourth Proportional to 497,396.40, 746,094.60 and 123,419.40

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Solution

The fourth proportional to 497,396.40, 746,094.60 and 123,419.40 is: 185,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,396.40 : 746,094.60 = 123,419.40 : x
  2. Step 2: Convert to fraction form
    497,396.40/746,094.60 = 123,419.40/x
  3. Step 3: Cross multiply
    497,396.40x = 746,094.60 × 123,419.40
  4. Step 4: Simplify right side
    497,396.40x = 92,082,547,875.24
  5. Step 5: Solve for x
    x = 92,082,547,875.24/497,396.40
  6. Step 6: Final answer
    x = 185,129.10

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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.