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Finding the Fourth Proportional to 442,328.10, 663,492.15 and 109,904.10

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Solution

The fourth proportional to 442,328.10, 663,492.15 and 109,904.10 is: 164,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,328.10 : 663,492.15 = 109,904.10 : x
  2. Step 2: Convert to fraction form
    442,328.10/663,492.15 = 109,904.10/x
  3. Step 3: Cross multiply
    442,328.10x = 663,492.15 × 109,904.10
  4. Step 4: Simplify right side
    442,328.10x = 72,920,507,602.82
  5. Step 5: Solve for x
    x = 72,920,507,602.82/442,328.10
  6. Step 6: Final answer
    x = 164,856.15

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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.