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Finding the Fourth Proportional to 830,473.16, 1,245,709.83 and 475,236.01

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Solution

The fourth proportional to 830,473.16, 1,245,709.83 and 475,236.01 is: 712,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,473.16 : 1,245,709.83 = 475,236.01 : x
  2. Step 2: Convert to fraction form
    830,473.16/1,245,709.83 = 475,236.01/x
  3. Step 3: Cross multiply
    830,473.16x = 1,245,709.83 × 475,236.01
  4. Step 4: Simplify right side
    830,473.16x = 592,006,172,566.25
  5. Step 5: Solve for x
    x = 592,006,172,566.25/830,473.16
  6. Step 6: Final answer
    x = 712,854.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.