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Finding the Fourth Proportional to 707,484.64, 975,098.64 and 616,272.16

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Solution

The fourth proportional to 707,484.64, 975,098.64 and 616,272.16 is: 849,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,484.64 : 975,098.64 = 616,272.16 : x
  2. Step 2: Convert to fraction form
    707,484.64/975,098.64 = 616,272.16/x
  3. Step 3: Cross multiply
    707,484.64x = 975,098.64 × 616,272.16
  4. Step 4: Simplify right side
    707,484.64x = 600,926,145,085.86
  5. Step 5: Solve for x
    x = 600,926,145,085.86/707,484.64
  6. Step 6: Final answer
    x = 849,384.02

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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.