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Finding the Fourth Proportional to 601,652.80, 830,175.60 and 343,411.84

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Solution

The fourth proportional to 601,652.80, 830,175.60 and 343,411.84 is: 473,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,652.80 : 830,175.60 = 343,411.84 : x
  2. Step 2: Convert to fraction form
    601,652.80/830,175.60 = 343,411.84/x
  3. Step 3: Cross multiply
    601,652.80x = 830,175.60 × 343,411.84
  4. Step 4: Simplify right side
    601,652.80x = 285,092,130,319.10
  5. Step 5: Solve for x
    x = 285,092,130,319.10/601,652.80
  6. Step 6: Final answer
    x = 473,848.26

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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.