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Finding the Fourth Proportional to 5,671,442.16, 8,507,119.50 and 1,411,581.78

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Solution

The fourth proportional to 5,671,442.16, 8,507,119.50 and 1,411,581.78 is: 2,117,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,442.16 : 8,507,119.50 = 1,411,581.78 : x
  2. Step 2: Convert to fraction form
    5,671,442.16/8,507,119.50 = 1,411,581.78/x
  3. Step 3: Cross multiply
    5,671,442.16x = 8,507,119.50 × 1,411,581.78
  4. Step 4: Simplify right side
    5,671,442.16x = 12,008,494,886,482.71
  5. Step 5: Solve for x
    x = 12,008,494,886,482.71/5,671,442.16
  6. Step 6: Final answer
    x = 2,117,361.78

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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.