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Finding the Fourth Proportional to 407,112.60, 610,668.90 and 346,751.40

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Solution

The fourth proportional to 407,112.60, 610,668.90 and 346,751.40 is: 520,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,112.60 : 610,668.90 = 346,751.40 : x
  2. Step 2: Convert to fraction form
    407,112.60/610,668.90 = 346,751.40/x
  3. Step 3: Cross multiply
    407,112.60x = 610,668.90 × 346,751.40
  4. Step 4: Simplify right side
    407,112.60x = 211,750,296,011.46
  5. Step 5: Solve for x
    x = 211,750,296,011.46/407,112.60
  6. Step 6: Final answer
    x = 520,127.10

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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.