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Finding the Fourth Proportional to 698,174.82, 963,494.00 and 388,106.52

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Solution

The fourth proportional to 698,174.82, 963,494.00 and 388,106.52 is: 535,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,174.82 : 963,494.00 = 388,106.52 : x
  2. Step 2: Convert to fraction form
    698,174.82/963,494.00 = 388,106.52/x
  3. Step 3: Cross multiply
    698,174.82x = 963,494.00 × 388,106.52
  4. Step 4: Simplify right side
    698,174.82x = 373,938,301,440.35
  5. Step 5: Solve for x
    x = 373,938,301,440.35/698,174.82
  6. Step 6: Final answer
    x = 535,594.08

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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.