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Finding the Fourth Proportional to 713,547, 1,070,320.50 and 181,070.82

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Solution

The fourth proportional to 713,547, 1,070,320.50 and 181,070.82 is: 271,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,547 : 1,070,320.50 = 181,070.82 : x
  2. Step 2: Convert to fraction form
    713,547/1,070,320.50 = 181,070.82/x
  3. Step 3: Cross multiply
    713,547x = 1,070,320.50 × 181,070.82
  4. Step 4: Simplify right side
    713,547x = 193,803,810,597.81
  5. Step 5: Solve for x
    x = 193,803,810,597.81/713,547
  6. Step 6: Final answer
    x = 271,606.23

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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.