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Finding the Fourth Proportional to 705,347, 973,676.70 and 476,214.50

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Solution

The fourth proportional to 705,347, 973,676.70 and 476,214.50 is: 657,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,347 : 973,676.70 = 476,214.50 : x
  2. Step 2: Convert to fraction form
    705,347/973,676.70 = 476,214.50/x
  3. Step 3: Cross multiply
    705,347x = 973,676.70 × 476,214.50
  4. Step 4: Simplify right side
    705,347x = 463,678,962,852.15
  5. Step 5: Solve for x
    x = 463,678,962,852.15/705,347
  6. Step 6: Final answer
    x = 657,377.10

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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.