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Finding the Fourth Proportional to 470,681.23, 701,039.14 and 468,387.31

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Solution

The fourth proportional to 470,681.23, 701,039.14 and 468,387.31 is: 697,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,681.23 : 701,039.14 = 468,387.31 : x
  2. Step 2: Convert to fraction form
    470,681.23/701,039.14 = 468,387.31/x
  3. Step 3: Cross multiply
    470,681.23x = 701,039.14 × 468,387.31
  4. Step 4: Simplify right side
    470,681.23x = 328,357,834,065.75
  5. Step 5: Solve for x
    x = 328,357,834,065.75/470,681.23
  6. Step 6: Final answer
    x = 697,622.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.