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Finding the Fourth Proportional to 714,054.50, 985,395.18 and 408,137.45

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Solution

The fourth proportional to 714,054.50, 985,395.18 and 408,137.45 is: 563,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,054.50 : 985,395.18 = 408,137.45 : x
  2. Step 2: Convert to fraction form
    714,054.50/985,395.18 = 408,137.45/x
  3. Step 3: Cross multiply
    714,054.50x = 985,395.18 × 408,137.45
  4. Step 4: Simplify right side
    714,054.50x = 402,176,671,080.52
  5. Step 5: Solve for x
    x = 402,176,671,080.52/714,054.50
  6. Step 6: Final answer
    x = 563,229.66

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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.