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Finding the Fourth Proportional to 702,303.16, 968,263.32 and 447,561.40

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Solution

The fourth proportional to 702,303.16, 968,263.32 and 447,561.40 is: 617,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,303.16 : 968,263.32 = 447,561.40 : x
  2. Step 2: Convert to fraction form
    702,303.16/968,263.32 = 447,561.40/x
  3. Step 3: Cross multiply
    702,303.16x = 968,263.32 × 447,561.40
  4. Step 4: Simplify right side
    702,303.16x = 433,357,287,067.85
  5. Step 5: Solve for x
    x = 433,357,287,067.85/702,303.16
  6. Step 6: Final answer
    x = 617,051.60

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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.