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Finding the Fourth Proportional to 592,547, 888,820.50 and 149,315

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Solution

The fourth proportional to 592,547, 888,820.50 and 149,315 is: 223,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,547 : 888,820.50 = 149,315 : x
  2. Step 2: Convert to fraction form
    592,547/888,820.50 = 149,315/x
  3. Step 3: Cross multiply
    592,547x = 888,820.50 × 149,315
  4. Step 4: Simplify right side
    592,547x = 132,714,232,957.50
  5. Step 5: Solve for x
    x = 132,714,232,957.50/592,547
  6. Step 6: Final answer
    x = 223,972.50

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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.