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Finding the Fourth Proportional to 734,835, 1,102,322.16 and 285,590.50

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Solution

The fourth proportional to 734,835, 1,102,322.16 and 285,590.50 is: 428,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,835 : 1,102,322.16 = 285,590.50 : x
  2. Step 2: Convert to fraction form
    734,835/1,102,322.16 = 285,590.50/x
  3. Step 3: Cross multiply
    734,835x = 1,102,322.16 × 285,590.50
  4. Step 4: Simplify right side
    734,835x = 314,812,736,835.48
  5. Step 5: Solve for x
    x = 314,812,736,835.48/734,835
  6. Step 6: Final answer
    x = 428,412.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.