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Finding the Fourth Proportional to 705,342, 973,669.80 and 476,209.50

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Solution

The fourth proportional to 705,342, 973,669.80 and 476,209.50 is: 657,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,342 : 973,669.80 = 476,209.50 : x
  2. Step 2: Convert to fraction form
    705,342/973,669.80 = 476,209.50/x
  3. Step 3: Cross multiply
    705,342x = 973,669.80 × 476,209.50
  4. Step 4: Simplify right side
    705,342x = 463,670,808,623.10
  5. Step 5: Solve for x
    x = 463,670,808,623.10/705,342
  6. Step 6: Final answer
    x = 657,370.20

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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.