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Finding the Fourth Proportional to 758,564.16, 1,046,803.68 and 419,029.44

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Solution

The fourth proportional to 758,564.16, 1,046,803.68 and 419,029.44 is: 578,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,564.16 : 1,046,803.68 = 419,029.44 : x
  2. Step 2: Convert to fraction form
    758,564.16/1,046,803.68 = 419,029.44/x
  3. Step 3: Cross multiply
    758,564.16x = 1,046,803.68 × 419,029.44
  4. Step 4: Simplify right side
    758,564.16x = 438,641,559,820.34
  5. Step 5: Solve for x
    x = 438,641,559,820.34/758,564.16
  6. Step 6: Final answer
    x = 578,252.42

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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.