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Finding the Fourth Proportional to 601,226.01, 829,705.32 and 343,097.82

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Solution

The fourth proportional to 601,226.01, 829,705.32 and 343,097.82 is: 473,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,226.01 : 829,705.32 = 343,097.82 : x
  2. Step 2: Convert to fraction form
    601,226.01/829,705.32 = 343,097.82/x
  3. Step 3: Cross multiply
    601,226.01x = 829,705.32 × 343,097.82
  4. Step 4: Simplify right side
    601,226.01x = 284,670,084,397.17
  5. Step 5: Solve for x
    x = 284,670,084,397.17/601,226.01
  6. Step 6: Final answer
    x = 473,482.65

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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.