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Finding the Fourth Proportional to 652,298.20, 978,447.30 and 463,341.40

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Solution

The fourth proportional to 652,298.20, 978,447.30 and 463,341.40 is: 695,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,298.20 : 978,447.30 = 463,341.40 : x
  2. Step 2: Convert to fraction form
    652,298.20/978,447.30 = 463,341.40/x
  3. Step 3: Cross multiply
    652,298.20x = 978,447.30 × 463,341.40
  4. Step 4: Simplify right side
    652,298.20x = 453,355,141,808.22
  5. Step 5: Solve for x
    x = 453,355,141,808.22/652,298.20
  6. Step 6: Final answer
    x = 695,012.10

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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.