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Finding the Fourth Proportional to 705,564.96, 973,697.70 and 383,293.50

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Solution

The fourth proportional to 705,564.96, 973,697.70 and 383,293.50 is: 528,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,564.96 : 973,697.70 = 383,293.50 : x
  2. Step 2: Convert to fraction form
    705,564.96/973,697.70 = 383,293.50/x
  3. Step 3: Cross multiply
    705,564.96x = 973,697.70 × 383,293.50
  4. Step 4: Simplify right side
    705,564.96x = 373,211,999,374.95
  5. Step 5: Solve for x
    x = 373,211,999,374.95/705,564.96
  6. Step 6: Final answer
    x = 528,954.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.