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Finding the Fourth Proportional to 525,475, 725,156.58 and 287,011

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Solution

The fourth proportional to 525,475, 725,156.58 and 287,011 is: 396,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,475 : 725,156.58 = 287,011 : x
  2. Step 2: Convert to fraction form
    525,475/725,156.58 = 287,011/x
  3. Step 3: Cross multiply
    525,475x = 725,156.58 × 287,011
  4. Step 4: Simplify right side
    525,475x = 208,127,915,182.38
  5. Step 5: Solve for x
    x = 208,127,915,182.38/525,475
  6. Step 6: Final answer
    x = 396,075.77

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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.