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Finding the Fourth Proportional to 698,048.12, 963,346.86 and 525,657.40

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Solution

The fourth proportional to 698,048.12, 963,346.86 and 525,657.40 is: 725,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,048.12 : 963,346.86 = 525,657.40 : x
  2. Step 2: Convert to fraction form
    698,048.12/963,346.86 = 525,657.40/x
  3. Step 3: Cross multiply
    698,048.12x = 963,346.86 × 525,657.40
  4. Step 4: Simplify right side
    698,048.12x = 506,390,405,725.76
  5. Step 5: Solve for x
    x = 506,390,405,725.76/698,048.12
  6. Step 6: Final answer
    x = 725,437.68

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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.