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Finding the Fourth Proportional to 867,706.65, 1,197,400.19 and 505,140.93

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Solution

The fourth proportional to 867,706.65, 1,197,400.19 and 505,140.93 is: 697,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,706.65 : 1,197,400.19 = 505,140.93 : x
  2. Step 2: Convert to fraction form
    867,706.65/1,197,400.19 = 505,140.93/x
  3. Step 3: Cross multiply
    867,706.65x = 1,197,400.19 × 505,140.93
  4. Step 4: Simplify right side
    867,706.65x = 604,855,843,033.07
  5. Step 5: Solve for x
    x = 604,855,843,033.07/867,706.65
  6. Step 6: Final answer
    x = 697,074.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.