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Finding the Fourth Proportional to 698,857.64, 963,089.28 and 602,031.06

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Solution

The fourth proportional to 698,857.64, 963,089.28 and 602,031.06 is: 829,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,857.64 : 963,089.28 = 602,031.06 : x
  2. Step 2: Convert to fraction form
    698,857.64/963,089.28 = 602,031.06/x
  3. Step 3: Cross multiply
    698,857.64x = 963,089.28 × 602,031.06
  4. Step 4: Simplify right side
    698,857.64x = 579,809,660,113.04
  5. Step 5: Solve for x
    x = 579,809,660,113.04/698,857.64
  6. Step 6: Final answer
    x = 829,653.46

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Why These Related Problems?

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