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Finding the Fourth Proportional to 651,483.37, 899,097.96 and 419,117.80

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Solution

The fourth proportional to 651,483.37, 899,097.96 and 419,117.80 is: 578,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,483.37 : 899,097.96 = 419,117.80 : x
  2. Step 2: Convert to fraction form
    651,483.37/899,097.96 = 419,117.80/x
  3. Step 3: Cross multiply
    651,483.37x = 899,097.96 × 419,117.80
  4. Step 4: Simplify right side
    651,483.37x = 376,827,958,979.69
  5. Step 5: Solve for x
    x = 376,827,958,979.69/651,483.37
  6. Step 6: Final answer
    x = 578,415.32

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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.