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Finding the Fourth Proportional to 601,112.39, 829,611.86 and 346,465.40

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Solution

The fourth proportional to 601,112.39, 829,611.86 and 346,465.40 is: 478,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,112.39 : 829,611.86 = 346,465.40 : x
  2. Step 2: Convert to fraction form
    601,112.39/829,611.86 = 346,465.40/x
  3. Step 3: Cross multiply
    601,112.39x = 829,611.86 × 346,465.40
  4. Step 4: Simplify right side
    601,112.39x = 287,431,799,039.26
  5. Step 5: Solve for x
    x = 287,431,799,039.26/601,112.39
  6. Step 6: Final answer
    x = 478,166.49

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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.