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Finding the Fourth Proportional to 380,130.39, 524,580.57 and 210,364.52

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Solution

The fourth proportional to 380,130.39, 524,580.57 and 210,364.52 is: 290,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,130.39 : 524,580.57 = 210,364.52 : x
  2. Step 2: Convert to fraction form
    380,130.39/524,580.57 = 210,364.52/x
  3. Step 3: Cross multiply
    380,130.39x = 524,580.57 × 210,364.52
  4. Step 4: Simplify right side
    380,130.39x = 110,353,137,186.47
  5. Step 5: Solve for x
    x = 110,353,137,186.47/380,130.39
  6. Step 6: Final answer
    x = 290,303.38

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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.