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Finding the Fourth Proportional to 380,904.16, 525,592.56 and 211,138.24

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Solution

The fourth proportional to 380,904.16, 525,592.56 and 211,138.24 is: 291,340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,904.16 : 525,592.56 = 211,138.24 : x
  2. Step 2: Convert to fraction form
    380,904.16/525,592.56 = 211,138.24/x
  3. Step 3: Cross multiply
    380,904.16x = 525,592.56 × 211,138.24
  4. Step 4: Simplify right side
    380,904.16x = 110,972,688,075.49
  5. Step 5: Solve for x
    x = 110,972,688,075.49/380,904.16
  6. Step 6: Final answer
    x = 291,340.18

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