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Finding the Fourth Proportional to 1,658,913.81, 2,484,384.90 and 946,782.87

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Solution

The fourth proportional to 1,658,913.81, 2,484,384.90 and 946,782.87 is: 1,417,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,913.81 : 2,484,384.90 = 946,782.87 : x
  2. Step 2: Convert to fraction form
    1,658,913.81/2,484,384.90 = 946,782.87/x
  3. Step 3: Cross multiply
    1,658,913.81x = 2,484,384.90 × 946,782.87
  4. Step 4: Simplify right side
    1,658,913.81x = 2,352,173,065,806.66
  5. Step 5: Solve for x
    x = 2,352,173,065,806.66/1,658,913.81
  6. Step 6: Final answer
    x = 1,417,899.50

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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.