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Finding the Fourth Proportional to 707,088.65, 975,814.47 and 416,712.47

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Solution

The fourth proportional to 707,088.65, 975,814.47 and 416,712.47 is: 575,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,088.65 : 975,814.47 = 416,712.47 : x
  2. Step 2: Convert to fraction form
    707,088.65/975,814.47 = 416,712.47/x
  3. Step 3: Cross multiply
    707,088.65x = 975,814.47 × 416,712.47
  4. Step 4: Simplify right side
    707,088.65x = 406,634,058,055.44
  5. Step 5: Solve for x
    x = 406,634,058,055.44/707,088.65
  6. Step 6: Final answer
    x = 575,082.15

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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.