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Finding the Fourth Proportional to 705,314.46, 973,631.94 and 476,182.13

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Solution

The fourth proportional to 705,314.46, 973,631.94 and 476,182.13 is: 657,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,314.46 : 973,631.94 = 476,182.13 : x
  2. Step 2: Convert to fraction form
    705,314.46/973,631.94 = 476,182.13/x
  3. Step 3: Cross multiply
    705,314.46x = 973,631.94 × 476,182.13
  4. Step 4: Simplify right side
    705,314.46x = 463,626,133,925.66
  5. Step 5: Solve for x
    x = 463,626,133,925.66/705,314.46
  6. Step 6: Final answer
    x = 657,332.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.