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Finding the Fourth Proportional to 475,547.88, 713,415.06 and 176,030.76

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Solution

The fourth proportional to 475,547.88, 713,415.06 and 176,030.76 is: 264,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,547.88 : 713,415.06 = 176,030.76 : x
  2. Step 2: Convert to fraction form
    475,547.88/713,415.06 = 176,030.76/x
  3. Step 3: Cross multiply
    475,547.88x = 713,415.06 × 176,030.76
  4. Step 4: Simplify right side
    475,547.88x = 125,582,995,207.25
  5. Step 5: Solve for x
    x = 125,582,995,207.25/475,547.88
  6. Step 6: Final answer
    x = 264,080.65

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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.