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Finding the Fourth Proportional to 1,411,543.08, 1,947,938.16 and 766,965.06

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Solution

The fourth proportional to 1,411,543.08, 1,947,938.16 and 766,965.06 is: 1,058,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,543.08 : 1,947,938.16 = 766,965.06 : x
  2. Step 2: Convert to fraction form
    1,411,543.08/1,947,938.16 = 766,965.06/x
  3. Step 3: Cross multiply
    1,411,543.08x = 1,947,938.16 × 766,965.06
  4. Step 4: Simplify right side
    1,411,543.08x = 1,494,000,507,760.69
  5. Step 5: Solve for x
    x = 1,494,000,507,760.69/1,411,543.08
  6. Step 6: Final answer
    x = 1,058,416.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.