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Finding the Fourth Proportional to 614,836, 848,473.68 and 346,564

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Solution

The fourth proportional to 614,836, 848,473.68 and 346,564 is: 478,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,836 : 848,473.68 = 346,564 : x
  2. Step 2: Convert to fraction form
    614,836/848,473.68 = 346,564/x
  3. Step 3: Cross multiply
    614,836x = 848,473.68 × 346,564
  4. Step 4: Simplify right side
    614,836x = 294,050,432,435.52
  5. Step 5: Solve for x
    x = 294,050,432,435.52/614,836
  6. Step 6: Final answer
    x = 478,258.32

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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.