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Finding the Fourth Proportional to 912,465, 1,259,201.70 and 510,057

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Solution

The fourth proportional to 912,465, 1,259,201.70 and 510,057 is: 703,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,465 : 1,259,201.70 = 510,057 : x
  2. Step 2: Convert to fraction form
    912,465/1,259,201.70 = 510,057/x
  3. Step 3: Cross multiply
    912,465x = 1,259,201.70 × 510,057
  4. Step 4: Simplify right side
    912,465x = 642,264,641,496.90
  5. Step 5: Solve for x
    x = 642,264,641,496.90/912,465
  6. Step 6: Final answer
    x = 703,878.66

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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.