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Finding the Fourth Proportional to 380,364.19, 524,918.98 and 210,598.31

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Solution

The fourth proportional to 380,364.19, 524,918.98 and 210,598.31 is: 290,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,364.19 : 524,918.98 = 210,598.31 : x
  2. Step 2: Convert to fraction form
    380,364.19/524,918.98 = 210,598.31/x
  3. Step 3: Cross multiply
    380,364.19x = 524,918.98 × 210,598.31
  4. Step 4: Simplify right side
    380,364.19x = 110,547,051,650.47
  5. Step 5: Solve for x
    x = 110,547,051,650.47/380,364.19
  6. Step 6: Final answer
    x = 290,634.75

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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.