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Finding the Fourth Proportional to 1,429,858.98, 1,973,197.40 and 776,478.71

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Solution

The fourth proportional to 1,429,858.98, 1,973,197.40 and 776,478.71 is: 1,071,536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,858.98 : 1,973,197.40 = 776,478.71 : x
  2. Step 2: Convert to fraction form
    1,429,858.98/1,973,197.40 = 776,478.71/x
  3. Step 3: Cross multiply
    1,429,858.98x = 1,973,197.40 × 776,478.71
  4. Step 4: Simplify right side
    1,429,858.98x = 1,532,145,772,777.95
  5. Step 5: Solve for x
    x = 1,532,145,772,777.95/1,429,858.98
  6. Step 6: Final answer
    x = 1,071,536.28

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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.