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Finding the Fourth Proportional to 583,638.05, 805,724.93 and 414,276.77

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Solution

The fourth proportional to 583,638.05, 805,724.93 and 414,276.77 is: 571,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,638.05 : 805,724.93 = 414,276.77 : x
  2. Step 2: Convert to fraction form
    583,638.05/805,724.93 = 414,276.77/x
  3. Step 3: Cross multiply
    583,638.05x = 805,724.93 × 414,276.77
  4. Step 4: Simplify right side
    583,638.05x = 333,793,118,515.94
  5. Step 5: Solve for x
    x = 333,793,118,515.94/583,638.05
  6. Step 6: Final answer
    x = 571,918.03

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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.