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Finding the Fourth Proportional to 1,297,807.71, 1,946,935.74 and 578,405.01

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Solution

The fourth proportional to 1,297,807.71, 1,946,935.74 and 578,405.01 is: 867,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,807.71 : 1,946,935.74 = 578,405.01 : x
  2. Step 2: Convert to fraction form
    1,297,807.71/1,946,935.74 = 578,405.01/x
  3. Step 3: Cross multiply
    1,297,807.71x = 1,946,935.74 × 578,405.01
  4. Step 4: Simplify right side
    1,297,807.71x = 1,126,117,386,164.06
  5. Step 5: Solve for x
    x = 1,126,117,386,164.06/1,297,807.71
  6. Step 6: Final answer
    x = 867,707.42

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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.