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Finding the Fourth Proportional to 601,551.60, 830,086 and 346,853.58

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Solution

The fourth proportional to 601,551.60, 830,086 and 346,853.58 is: 478,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,551.60 : 830,086 = 346,853.58 : x
  2. Step 2: Convert to fraction form
    601,551.60/830,086 = 346,853.58/x
  3. Step 3: Cross multiply
    601,551.60x = 830,086 × 346,853.58
  4. Step 4: Simplify right side
    601,551.60x = 287,918,300,807.88
  5. Step 5: Solve for x
    x = 287,918,300,807.88/601,551.60
  6. Step 6: Final answer
    x = 478,626.11

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1.5x scale

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.