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Finding the Fourth Proportional to 515,312, 710,888.64 and 364,492.16

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Solution

The fourth proportional to 515,312, 710,888.64 and 364,492.16 is: 502,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,312 : 710,888.64 = 364,492.16 : x
  2. Step 2: Convert to fraction form
    515,312/710,888.64 = 364,492.16/x
  3. Step 3: Cross multiply
    515,312x = 710,888.64 × 364,492.16
  4. Step 4: Simplify right side
    515,312x = 259,113,335,913.06
  5. Step 5: Solve for x
    x = 259,113,335,913.06/515,312
  6. Step 6: Final answer
    x = 502,828.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.