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Finding the Fourth Proportional to 705,416.16, 973,470.72 and 383,124

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Solution

The fourth proportional to 705,416.16, 973,470.72 and 383,124 is: 528,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,416.16 : 973,470.72 = 383,124 : x
  2. Step 2: Convert to fraction form
    705,416.16/973,470.72 = 383,124/x
  3. Step 3: Cross multiply
    705,416.16x = 973,470.72 × 383,124
  4. Step 4: Simplify right side
    705,416.16x = 372,959,996,129.28
  5. Step 5: Solve for x
    x = 372,959,996,129.28/705,416.16
  6. Step 6: Final answer
    x = 528,709.18

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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.