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Finding the Fourth Proportional to 601,530.48, 830,056.86 and 346,832.46

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Solution

The fourth proportional to 601,530.48, 830,056.86 and 346,832.46 is: 478,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,530.48 : 830,056.86 = 346,832.46 : x
  2. Step 2: Convert to fraction form
    601,530.48/830,056.86 = 346,832.46/x
  3. Step 3: Cross multiply
    601,530.48x = 830,056.86 × 346,832.46
  4. Step 4: Simplify right side
    601,530.48x = 287,890,662,693.68
  5. Step 5: Solve for x
    x = 287,890,662,693.68/601,530.48
  6. Step 6: Final answer
    x = 478,596.97

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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.