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Finding the Fourth Proportional to 657,336.16, 983,409.94 and 497,871.46

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Solution

The fourth proportional to 657,336.16, 983,409.94 and 497,871.46 is: 744,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,336.16 : 983,409.94 = 497,871.46 : x
  2. Step 2: Convert to fraction form
    657,336.16/983,409.94 = 497,871.46/x
  3. Step 3: Cross multiply
    657,336.16x = 983,409.94 × 497,871.46
  4. Step 4: Simplify right side
    657,336.16x = 489,611,742,606.31
  5. Step 5: Solve for x
    x = 489,611,742,606.31/657,336.16
  6. Step 6: Final answer
    x = 744,842.25

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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.