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Finding the Fourth Proportional to 1,009,178, 1,513,767 and 410,464.88

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Solution

The fourth proportional to 1,009,178, 1,513,767 and 410,464.88 is: 615,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,178 : 1,513,767 = 410,464.88 : x
  2. Step 2: Convert to fraction form
    1,009,178/1,513,767 = 410,464.88/x
  3. Step 3: Cross multiply
    1,009,178x = 1,513,767 × 410,464.88
  4. Step 4: Simplify right side
    1,009,178x = 621,348,190,002.96
  5. Step 5: Solve for x
    x = 621,348,190,002.96/1,009,178
  6. Step 6: Final answer
    x = 615,697.32

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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.