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Finding the Fourth Proportional to 601,296.51, 829,802.53 and 343,168.32

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Solution

The fourth proportional to 601,296.51, 829,802.53 and 343,168.32 is: 473,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,296.51 : 829,802.53 = 343,168.32 : x
  2. Step 2: Convert to fraction form
    601,296.51/829,802.53 = 343,168.32/x
  3. Step 3: Cross multiply
    601,296.51x = 829,802.53 × 343,168.32
  4. Step 4: Simplify right side
    601,296.51x = 284,761,941,600.05
  5. Step 5: Solve for x
    x = 284,761,941,600.05/601,296.51
  6. Step 6: Final answer
    x = 473,579.90

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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.