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Finding the Fourth Proportional to 705,146.45, 973,903.30 and 475,307.33

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Solution

The fourth proportional to 705,146.45, 973,903.30 and 475,307.33 is: 656,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,146.45 : 973,903.30 = 475,307.33 : x
  2. Step 2: Convert to fraction form
    705,146.45/973,903.30 = 475,307.33/x
  3. Step 3: Cross multiply
    705,146.45x = 973,903.30 × 475,307.33
  4. Step 4: Simplify right side
    705,146.45x = 462,903,371,143.40
  5. Step 5: Solve for x
    x = 462,903,371,143.40/705,146.45
  6. Step 6: Final answer
    x = 656,464.16

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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.