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Finding the Fourth Proportional to 417,741.40, 626,612.10 and 410,829.40

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Solution

The fourth proportional to 417,741.40, 626,612.10 and 410,829.40 is: 616,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,741.40 : 626,612.10 = 410,829.40 : x
  2. Step 2: Convert to fraction form
    417,741.40/626,612.10 = 410,829.40/x
  3. Step 3: Cross multiply
    417,741.40x = 626,612.10 × 410,829.40
  4. Step 4: Simplify right side
    417,741.40x = 257,430,673,075.74
  5. Step 5: Solve for x
    x = 257,430,673,075.74/417,741.40
  6. Step 6: Final answer
    x = 616,244.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.