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Finding the Fourth Proportional to 657,352.70, 983,955.45 and 470,728.70

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Solution

The fourth proportional to 657,352.70, 983,955.45 and 470,728.70 is: 704,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,352.70 : 983,955.45 = 470,728.70 : x
  2. Step 2: Convert to fraction form
    657,352.70/983,955.45 = 470,728.70/x
  3. Step 3: Cross multiply
    657,352.70x = 983,955.45 × 470,728.70
  4. Step 4: Simplify right side
    657,352.70x = 463,176,069,836.42
  5. Step 5: Solve for x
    x = 463,176,069,836.42/657,352.70
  6. Step 6: Final answer
    x = 704,608.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.