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Finding the Fourth Proportional to 765,417.84, 1,155,316.02 and 765,417.84

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Solution

The fourth proportional to 765,417.84, 1,155,316.02 and 765,417.84 is: 1,155,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,417.84 : 1,155,316.02 = 765,417.84 : x
  2. Step 2: Convert to fraction form
    765,417.84/1,155,316.02 = 765,417.84/x
  3. Step 3: Cross multiply
    765,417.84x = 1,155,316.02 × 765,417.84
  4. Step 4: Simplify right side
    765,417.84x = 884,299,492,545.80
  5. Step 5: Solve for x
    x = 884,299,492,545.80/765,417.84
  6. Step 6: Final answer
    x = 1,155,316.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.