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Finding the Fourth Proportional to 730,195.80, 1,007,665.38 and 407,903.04

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Solution

The fourth proportional to 730,195.80, 1,007,665.38 and 407,903.04 is: 562,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,195.80 : 1,007,665.38 = 407,903.04 : x
  2. Step 2: Convert to fraction form
    730,195.80/1,007,665.38 = 407,903.04/x
  3. Step 3: Cross multiply
    730,195.80x = 1,007,665.38 × 407,903.04
  4. Step 4: Simplify right side
    730,195.80x = 411,029,771,804.76
  5. Step 5: Solve for x
    x = 411,029,771,804.76/730,195.80
  6. Step 6: Final answer
    x = 562,903.50

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Why These Related Problems?

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