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Finding the Fourth Proportional to 707,434.36, 976,588.45 and 416,954.28

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Solution

The fourth proportional to 707,434.36, 976,588.45 and 416,954.28 is: 575,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,434.36 : 976,588.45 = 416,954.28 : x
  2. Step 2: Convert to fraction form
    707,434.36/976,588.45 = 416,954.28/x
  3. Step 3: Cross multiply
    707,434.36x = 976,588.45 × 416,954.28
  4. Step 4: Simplify right side
    707,434.36x = 407,192,736,645.89
  5. Step 5: Solve for x
    x = 407,192,736,645.89/707,434.36
  6. Step 6: Final answer
    x = 575,590.84

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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.