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Finding the Fourth Proportional to 698,994, 1,047,155.25 and 585,865.96

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Solution

The fourth proportional to 698,994, 1,047,155.25 and 585,865.96 is: 877,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,994 : 1,047,155.25 = 585,865.96 : x
  2. Step 2: Convert to fraction form
    698,994/1,047,155.25 = 585,865.96/x
  3. Step 3: Cross multiply
    698,994x = 1,047,155.25 × 585,865.96
  4. Step 4: Simplify right side
    698,994x = 613,492,615,389.40
  5. Step 5: Solve for x
    x = 613,492,615,389.40/698,994
  6. Step 6: Final answer
    x = 877,679.37

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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.