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Finding the Fourth Proportional to 705,071.86, 973,152.57 and 433,282.30

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Solution

The fourth proportional to 705,071.86, 973,152.57 and 433,282.30 is: 598,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,071.86 : 973,152.57 = 433,282.30 : x
  2. Step 2: Convert to fraction form
    705,071.86/973,152.57 = 433,282.30/x
  3. Step 3: Cross multiply
    705,071.86x = 973,152.57 × 433,282.30
  4. Step 4: Simplify right side
    705,071.86x = 421,649,783,780.51
  5. Step 5: Solve for x
    x = 421,649,783,780.51/705,071.86
  6. Step 6: Final answer
    x = 598,023.84

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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.